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Finding the Third Proportional to 31,259.25 and 44,668.13

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Solution

The third proportional to 31,259.25 and 44,668.13 is: 63,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.25 : 44,668.13 = 44,668.13 : x
  2. Step 2: Convert to fraction form
    31,259.25/44,668.13 = 44,668.13/x
  3. Step 3: Cross multiply
    31,259.25x = 44,668.13 × 44,668.13
  4. Step 4: Simplify right side
    31,259.25x = 1,995,241,391.02
  5. Step 5: Solve for x
    x = 1,995,241,391.02/31,259.25
  6. Step 6: Final answer
    x = 63,828.83

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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.