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Finding the Third Proportional to 35,656 and 77,432

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Solution

The third proportional to 35,656 and 77,432 is: 168,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,656 : 77,432 = 77,432 : x
  2. Step 2: Convert to fraction form
    35,656/77,432 = 77,432/x
  3. Step 3: Cross multiply
    35,656x = 77,432 × 77,432
  4. Step 4: Simplify right side
    35,656x = 5,995,714,624
  5. Step 5: Solve for x
    x = 5,995,714,624/35,656
  6. Step 6: Final answer
    x = 168,154.44

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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.