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Finding the Third Proportional to 12,531.38 and 26,688.38

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Solution

The third proportional to 12,531.38 and 26,688.38 is: 56,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.38 : 26,688.38 = 26,688.38 : x
  2. Step 2: Convert to fraction form
    12,531.38/26,688.38 = 26,688.38/x
  3. Step 3: Cross multiply
    12,531.38x = 26,688.38 × 26,688.38
  4. Step 4: Simplify right side
    12,531.38x = 712,269,360.14
  5. Step 5: Solve for x
    x = 712,269,360.14/12,531.38
  6. Step 6: Final answer
    x = 56,838.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.