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Finding the Third Proportional to 32,701 and 70,583

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Solution

The third proportional to 32,701 and 70,583 is: 152,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701 : 70,583 = 70,583 : x
  2. Step 2: Convert to fraction form
    32,701/70,583 = 70,583/x
  3. Step 3: Cross multiply
    32,701x = 70,583 × 70,583
  4. Step 4: Simplify right side
    32,701x = 4,981,959,889
  5. Step 5: Solve for x
    x = 4,981,959,889/32,701
  6. Step 6: Final answer
    x = 152,348.85

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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.