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Finding the Third Proportional to 32,080 and 35,344

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Solution

The third proportional to 32,080 and 35,344 is: 38,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 35,344 = 35,344 : x
  2. Step 2: Convert to fraction form
    32,080/35,344 = 35,344/x
  3. Step 3: Cross multiply
    32,080x = 35,344 × 35,344
  4. Step 4: Simplify right side
    32,080x = 1,249,198,336
  5. Step 5: Solve for x
    x = 1,249,198,336/32,080
  6. Step 6: Final answer
    x = 38,940.10

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.