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Finding the Third Proportional to 25,010 and 54,988

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Solution

The third proportional to 25,010 and 54,988 is: 120,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010 : 54,988 = 54,988 : x
  2. Step 2: Convert to fraction form
    25,010/54,988 = 54,988/x
  3. Step 3: Cross multiply
    25,010x = 54,988 × 54,988
  4. Step 4: Simplify right side
    25,010x = 3,023,680,144
  5. Step 5: Solve for x
    x = 3,023,680,144/25,010
  6. Step 6: Final answer
    x = 120,898.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.