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Finding the Third Proportional to 54,678.38 and 69,869.25

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Solution

The third proportional to 54,678.38 and 69,869.25 is: 89,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678.38 : 69,869.25 = 69,869.25 : x
  2. Step 2: Convert to fraction form
    54,678.38/69,869.25 = 69,869.25/x
  3. Step 3: Cross multiply
    54,678.38x = 69,869.25 × 69,869.25
  4. Step 4: Simplify right side
    54,678.38x = 4,881,712,095.56
  5. Step 5: Solve for x
    x = 4,881,712,095.56/54,678.38
  6. Step 6: Final answer
    x = 89,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.