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Finding the Third Proportional to 25,098 and 54,330

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Solution

The third proportional to 25,098 and 54,330 is: 117,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098 : 54,330 = 54,330 : x
  2. Step 2: Convert to fraction form
    25,098/54,330 = 54,330/x
  3. Step 3: Cross multiply
    25,098x = 54,330 × 54,330
  4. Step 4: Simplify right side
    25,098x = 2,951,748,900
  5. Step 5: Solve for x
    x = 2,951,748,900/25,098
  6. Step 6: Final answer
    x = 117,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.