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Finding the Third Proportional to 31,243 and 44,645.88

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Solution

The third proportional to 31,243 and 44,645.88 is: 63,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243 : 44,645.88 = 44,645.88 : x
  2. Step 2: Convert to fraction form
    31,243/44,645.88 = 44,645.88/x
  3. Step 3: Cross multiply
    31,243x = 44,645.88 × 44,645.88
  4. Step 4: Simplify right side
    31,243x = 1,993,254,154.52
  5. Step 5: Solve for x
    x = 1,993,254,154.52/31,243
  6. Step 6: Final answer
    x = 63,798.42

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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.