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Finding the Third Proportional to 40,473.75 and 62,830.13

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Solution

The third proportional to 40,473.75 and 62,830.13 is: 97,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473.75 : 62,830.13 = 62,830.13 : x
  2. Step 2: Convert to fraction form
    40,473.75/62,830.13 = 62,830.13/x
  3. Step 3: Cross multiply
    40,473.75x = 62,830.13 × 62,830.13
  4. Step 4: Simplify right side
    40,473.75x = 3,947,624,607.52
  5. Step 5: Solve for x
    x = 3,947,624,607.52/40,473.75
  6. Step 6: Final answer
    x = 97,535.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.