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Finding the Third Proportional to 25,282.13 and 36,417.09

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Solution

The third proportional to 25,282.13 and 36,417.09 is: 52,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.13 : 36,417.09 = 36,417.09 : x
  2. Step 2: Convert to fraction form
    25,282.13/36,417.09 = 36,417.09/x
  3. Step 3: Cross multiply
    25,282.13x = 36,417.09 × 36,417.09
  4. Step 4: Simplify right side
    25,282.13x = 1,326,204,717.20
  5. Step 5: Solve for x
    x = 1,326,204,717.20/25,282.13
  6. Step 6: Final answer
    x = 52,456.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.