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Finding the Third Proportional to 25,298.25 and 59,691.75

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Solution

The third proportional to 25,298.25 and 59,691.75 is: 140,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.25 : 59,691.75 = 59,691.75 : x
  2. Step 2: Convert to fraction form
    25,298.25/59,691.75 = 59,691.75/x
  3. Step 3: Cross multiply
    25,298.25x = 59,691.75 × 59,691.75
  4. Step 4: Simplify right side
    25,298.25x = 3,563,105,018.06
  5. Step 5: Solve for x
    x = 3,563,105,018.06/25,298.25
  6. Step 6: Final answer
    x = 140,843.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.