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Finding the Third Proportional to 36,432 and 55,706

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Solution

The third proportional to 36,432 and 55,706 is: 85,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 55,706 = 55,706 : x
  2. Step 2: Convert to fraction form
    36,432/55,706 = 55,706/x
  3. Step 3: Cross multiply
    36,432x = 55,706 × 55,706
  4. Step 4: Simplify right side
    36,432x = 3,103,158,436
  5. Step 5: Solve for x
    x = 3,103,158,436/36,432
  6. Step 6: Final answer
    x = 85,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.