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Finding the Third Proportional to 35,800 and 77,500

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Solution

The third proportional to 35,800 and 77,500 is: 167,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800 : 77,500 = 77,500 : x
  2. Step 2: Convert to fraction form
    35,800/77,500 = 77,500/x
  3. Step 3: Cross multiply
    35,800x = 77,500 × 77,500
  4. Step 4: Simplify right side
    35,800x = 6,006,250,000
  5. Step 5: Solve for x
    x = 6,006,250,000/35,800
  6. Step 6: Final answer
    x = 167,772.35

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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.