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Finding the Third Proportional to 32,919 and 51,309

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Solution

The third proportional to 32,919 and 51,309 is: 79,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 51,309 = 51,309 : x
  2. Step 2: Convert to fraction form
    32,919/51,309 = 51,309/x
  3. Step 3: Cross multiply
    32,919x = 51,309 × 51,309
  4. Step 4: Simplify right side
    32,919x = 2,632,613,481
  5. Step 5: Solve for x
    x = 2,632,613,481/32,919
  6. Step 6: Final answer
    x = 79,972.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.