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Finding the Third Proportional to 12,531.38 and 26,098.88

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Solution

The third proportional to 12,531.38 and 26,098.88 is: 54,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.38 : 26,098.88 = 26,098.88 : x
  2. Step 2: Convert to fraction form
    12,531.38/26,098.88 = 26,098.88/x
  3. Step 3: Cross multiply
    12,531.38x = 26,098.88 × 26,098.88
  4. Step 4: Simplify right side
    12,531.38x = 681,151,276.27
  5. Step 5: Solve for x
    x = 681,151,276.27/12,531.38
  6. Step 6: Final answer
    x = 54,355.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.