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Finding the Third Proportional to 34,135 and 53,432

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Solution

The third proportional to 34,135 and 53,432 is: 83,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135 : 53,432 = 53,432 : x
  2. Step 2: Convert to fraction form
    34,135/53,432 = 53,432/x
  3. Step 3: Cross multiply
    34,135x = 53,432 × 53,432
  4. Step 4: Simplify right side
    34,135x = 2,854,978,624
  5. Step 5: Solve for x
    x = 2,854,978,624/34,135
  6. Step 6: Final answer
    x = 83,637.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.