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Finding the Third Proportional to 44,314 and 59,703

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Solution

The third proportional to 44,314 and 59,703 is: 80,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,314 : 59,703 = 59,703 : x
  2. Step 2: Convert to fraction form
    44,314/59,703 = 59,703/x
  3. Step 3: Cross multiply
    44,314x = 59,703 × 59,703
  4. Step 4: Simplify right side
    44,314x = 3,564,448,209
  5. Step 5: Solve for x
    x = 3,564,448,209/44,314
  6. Step 6: Final answer
    x = 80,436.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.