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Finding the Third Proportional to 54,487.50 and 82,047

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Solution

The third proportional to 54,487.50 and 82,047 is: 123,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,487.50 : 82,047 = 82,047 : x
  2. Step 2: Convert to fraction form
    54,487.50/82,047 = 82,047/x
  3. Step 3: Cross multiply
    54,487.50x = 82,047 × 82,047
  4. Step 4: Simplify right side
    54,487.50x = 6,731,710,209
  5. Step 5: Solve for x
    x = 6,731,710,209/54,487.50
  6. Step 6: Final answer
    x = 123,545.95

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Why These Related Problems?

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