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Finding the Third Proportional to 16,532 and 35,656

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Solution

The third proportional to 16,532 and 35,656 is: 76,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532 : 35,656 = 35,656 : x
  2. Step 2: Convert to fraction form
    16,532/35,656 = 35,656/x
  3. Step 3: Cross multiply
    16,532x = 35,656 × 35,656
  4. Step 4: Simplify right side
    16,532x = 1,271,350,336
  5. Step 5: Solve for x
    x = 1,271,350,336/16,532
  6. Step 6: Final answer
    x = 76,902.39

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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.