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Finding the Third Proportional to 32,418 and 70,839

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Solution

The third proportional to 32,418 and 70,839 is: 154,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 70,839 = 70,839 : x
  2. Step 2: Convert to fraction form
    32,418/70,839 = 70,839/x
  3. Step 3: Cross multiply
    32,418x = 70,839 × 70,839
  4. Step 4: Simplify right side
    32,418x = 5,018,163,921
  5. Step 5: Solve for x
    x = 5,018,163,921/32,418
  6. Step 6: Final answer
    x = 154,795.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.