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Finding the Third Proportional to 32,680 and 70,891

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Solution

The third proportional to 32,680 and 70,891 is: 153,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680 : 70,891 = 70,891 : x
  2. Step 2: Convert to fraction form
    32,680/70,891 = 70,891/x
  3. Step 3: Cross multiply
    32,680x = 70,891 × 70,891
  4. Step 4: Simplify right side
    32,680x = 5,025,533,881
  5. Step 5: Solve for x
    x = 5,025,533,881/32,680
  6. Step 6: Final answer
    x = 153,780.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.