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Finding the Third Proportional to 40,509 and 62,869.50

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Solution

The third proportional to 40,509 and 62,869.50 is: 97,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509 : 62,869.50 = 62,869.50 : x
  2. Step 2: Convert to fraction form
    40,509/62,869.50 = 62,869.50/x
  3. Step 3: Cross multiply
    40,509x = 62,869.50 × 62,869.50
  4. Step 4: Simplify right side
    40,509x = 3,952,574,030.25
  5. Step 5: Solve for x
    x = 3,952,574,030.25/40,509
  6. Step 6: Final answer
    x = 97,572.74

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