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Finding the Third Proportional to 15,126.75 and 32,052.38

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Solution

The third proportional to 15,126.75 and 32,052.38 is: 67,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.75 : 32,052.38 = 32,052.38 : x
  2. Step 2: Convert to fraction form
    15,126.75/32,052.38 = 32,052.38/x
  3. Step 3: Cross multiply
    15,126.75x = 32,052.38 × 32,052.38
  4. Step 4: Simplify right side
    15,126.75x = 1,027,354,743.14
  5. Step 5: Solve for x
    x = 1,027,354,743.14/15,126.75
  6. Step 6: Final answer
    x = 67,916.42

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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.