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Finding the Third Proportional to 39,472.50 and 59,619

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Solution

The third proportional to 39,472.50 and 59,619 is: 90,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472.50 : 59,619 = 59,619 : x
  2. Step 2: Convert to fraction form
    39,472.50/59,619 = 59,619/x
  3. Step 3: Cross multiply
    39,472.50x = 59,619 × 59,619
  4. Step 4: Simplify right side
    39,472.50x = 3,554,425,161
  5. Step 5: Solve for x
    x = 3,554,425,161/39,472.50
  6. Step 6: Final answer
    x = 90,048.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.