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Finding the Third Proportional to 25,235 and 54,001.50

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Solution

The third proportional to 25,235 and 54,001.50 is: 115,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235 : 54,001.50 = 54,001.50 : x
  2. Step 2: Convert to fraction form
    25,235/54,001.50 = 54,001.50/x
  3. Step 3: Cross multiply
    25,235x = 54,001.50 × 54,001.50
  4. Step 4: Simplify right side
    25,235x = 2,916,162,002.25
  5. Step 5: Solve for x
    x = 2,916,162,002.25/25,235
  6. Step 6: Final answer
    x = 115,560.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.