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Finding the Third Proportional to 31,384.13 and 44,733.94

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Solution

The third proportional to 31,384.13 and 44,733.94 is: 63,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.13 : 44,733.94 = 44,733.94 : x
  2. Step 2: Convert to fraction form
    31,384.13/44,733.94 = 44,733.94/x
  3. Step 3: Cross multiply
    31,384.13x = 44,733.94 × 44,733.94
  4. Step 4: Simplify right side
    31,384.13x = 2,001,125,164.25
  5. Step 5: Solve for x
    x = 2,001,125,164.25/31,384.13
  6. Step 6: Final answer
    x = 63,762.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.