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Finding the Third Proportional to 39,658 and 52,870

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Solution

The third proportional to 39,658 and 52,870 is: 70,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658 : 52,870 = 52,870 : x
  2. Step 2: Convert to fraction form
    39,658/52,870 = 52,870/x
  3. Step 3: Cross multiply
    39,658x = 52,870 × 52,870
  4. Step 4: Simplify right side
    39,658x = 2,795,236,900
  5. Step 5: Solve for x
    x = 2,795,236,900/39,658
  6. Step 6: Final answer
    x = 70,483.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.