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Finding the Third Proportional to 32,429 and 70,540

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Solution

The third proportional to 32,429 and 70,540 is: 153,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429 : 70,540 = 70,540 : x
  2. Step 2: Convert to fraction form
    32,429/70,540 = 70,540/x
  3. Step 3: Cross multiply
    32,429x = 70,540 × 70,540
  4. Step 4: Simplify right side
    32,429x = 4,975,891,600
  5. Step 5: Solve for x
    x = 4,975,891,600/32,429
  6. Step 6: Final answer
    x = 153,439.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.