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Finding the Third Proportional to 32,776 and 70,720

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Solution

The third proportional to 32,776 and 70,720 is: 152,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776 : 70,720 = 70,720 : x
  2. Step 2: Convert to fraction form
    32,776/70,720 = 70,720/x
  3. Step 3: Cross multiply
    32,776x = 70,720 × 70,720
  4. Step 4: Simplify right side
    32,776x = 5,001,318,400
  5. Step 5: Solve for x
    x = 5,001,318,400/32,776
  6. Step 6: Final answer
    x = 152,590.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.