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Finding the Third Proportional to 34,860 and 52,617

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Solution

The third proportional to 34,860 and 52,617 is: 79,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,860 : 52,617 = 52,617 : x
  2. Step 2: Convert to fraction form
    34,860/52,617 = 52,617/x
  3. Step 3: Cross multiply
    34,860x = 52,617 × 52,617
  4. Step 4: Simplify right side
    34,860x = 2,768,548,689
  5. Step 5: Solve for x
    x = 2,768,548,689/34,860
  6. Step 6: Final answer
    x = 79,419.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.