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Finding the Third Proportional to 64,396 and 84,882

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Solution

The third proportional to 64,396 and 84,882 is: 111,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,396 : 84,882 = 84,882 : x
  2. Step 2: Convert to fraction form
    64,396/84,882 = 84,882/x
  3. Step 3: Cross multiply
    64,396x = 84,882 × 84,882
  4. Step 4: Simplify right side
    64,396x = 7,204,953,924
  5. Step 5: Solve for x
    x = 7,204,953,924/64,396
  6. Step 6: Final answer
    x = 111,885.12

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.