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Finding the Third Proportional to 32,306 and 50,331

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Solution

The third proportional to 32,306 and 50,331 is: 78,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306 : 50,331 = 50,331 : x
  2. Step 2: Convert to fraction form
    32,306/50,331 = 50,331/x
  3. Step 3: Cross multiply
    32,306x = 50,331 × 50,331
  4. Step 4: Simplify right side
    32,306x = 2,533,209,561
  5. Step 5: Solve for x
    x = 2,533,209,561/32,306
  6. Step 6: Final answer
    x = 78,412.97

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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.