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Finding the Third Proportional to 32,720 and 70,663

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Solution

The third proportional to 32,720 and 70,663 is: 152,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,720 : 70,663 = 70,663 : x
  2. Step 2: Convert to fraction form
    32,720/70,663 = 70,663/x
  3. Step 3: Cross multiply
    32,720x = 70,663 × 70,663
  4. Step 4: Simplify right side
    32,720x = 4,993,259,569
  5. Step 5: Solve for x
    x = 4,993,259,569/32,720
  6. Step 6: Final answer
    x = 152,605.73

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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.