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Finding the Third Proportional to 12,536.75 and 27,032.69

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Solution

The third proportional to 12,536.75 and 27,032.69 is: 58,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.75 : 27,032.69 = 27,032.69 : x
  2. Step 2: Convert to fraction form
    12,536.75/27,032.69 = 27,032.69/x
  3. Step 3: Cross multiply
    12,536.75x = 27,032.69 × 27,032.69
  4. Step 4: Simplify right side
    12,536.75x = 730,766,193.47
  5. Step 5: Solve for x
    x = 730,766,193.47/12,536.75
  6. Step 6: Final answer
    x = 58,289.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.