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Finding the Third Proportional to 12,742.31 and 27,531.14

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Solution

The third proportional to 12,742.31 and 27,531.14 is: 59,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.31 : 27,531.14 = 27,531.14 : x
  2. Step 2: Convert to fraction form
    12,742.31/27,531.14 = 27,531.14/x
  3. Step 3: Cross multiply
    12,742.31x = 27,531.14 × 27,531.14
  4. Step 4: Simplify right side
    12,742.31x = 757,963,704.11
  5. Step 5: Solve for x
    x = 757,963,704.11/12,742.31
  6. Step 6: Final answer
    x = 59,484.00

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Why These Related Problems?

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