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Finding the Third Proportional to 42,384.50 and 57,561.50

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Solution

The third proportional to 42,384.50 and 57,561.50 is: 78,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.50 : 57,561.50 = 57,561.50 : x
  2. Step 2: Convert to fraction form
    42,384.50/57,561.50 = 57,561.50/x
  3. Step 3: Cross multiply
    42,384.50x = 57,561.50 × 57,561.50
  4. Step 4: Simplify right side
    42,384.50x = 3,313,326,282.25
  5. Step 5: Solve for x
    x = 3,313,326,282.25/42,384.50
  6. Step 6: Final answer
    x = 78,173.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.