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Finding the Third Proportional to 12,757.08 and 27,032.91

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Solution

The third proportional to 12,757.08 and 27,032.91 is: 57,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.08 : 27,032.91 = 27,032.91 : x
  2. Step 2: Convert to fraction form
    12,757.08/27,032.91 = 27,032.91/x
  3. Step 3: Cross multiply
    12,757.08x = 27,032.91 × 27,032.91
  4. Step 4: Simplify right side
    12,757.08x = 730,778,020.32
  5. Step 5: Solve for x
    x = 730,778,020.32/12,757.08
  6. Step 6: Final answer
    x = 57,284.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.