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Finding the Third Proportional to 12,386.25 and 29,207.25

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Solution

The third proportional to 12,386.25 and 29,207.25 is: 68,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.25 : 29,207.25 = 29,207.25 : x
  2. Step 2: Convert to fraction form
    12,386.25/29,207.25 = 29,207.25/x
  3. Step 3: Cross multiply
    12,386.25x = 29,207.25 × 29,207.25
  4. Step 4: Simplify right side
    12,386.25x = 853,063,452.56
  5. Step 5: Solve for x
    x = 853,063,452.56/12,386.25
  6. Step 6: Final answer
    x = 68,871.81

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Why These Related Problems?

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