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Finding the Third Proportional to 35,697 and 78,567

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Solution

The third proportional to 35,697 and 78,567 is: 172,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697 : 78,567 = 78,567 : x
  2. Step 2: Convert to fraction form
    35,697/78,567 = 78,567/x
  3. Step 3: Cross multiply
    35,697x = 78,567 × 78,567
  4. Step 4: Simplify right side
    35,697x = 6,172,773,489
  5. Step 5: Solve for x
    x = 6,172,773,489/35,697
  6. Step 6: Final answer
    x = 172,921.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.