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Finding the Third Proportional to 25,215.05 and 34,965.42

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Solution

The third proportional to 25,215.05 and 34,965.42 is: 48,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215.05 : 34,965.42 = 34,965.42 : x
  2. Step 2: Convert to fraction form
    25,215.05/34,965.42 = 34,965.42/x
  3. Step 3: Cross multiply
    25,215.05x = 34,965.42 × 34,965.42
  4. Step 4: Simplify right side
    25,215.05x = 1,222,580,726.90
  5. Step 5: Solve for x
    x = 1,222,580,726.90/25,215.05
  6. Step 6: Final answer
    x = 48,486.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.