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Finding the Third Proportional to 35,672 and 55,217

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Solution

The third proportional to 35,672 and 55,217 is: 85,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672 : 55,217 = 55,217 : x
  2. Step 2: Convert to fraction form
    35,672/55,217 = 55,217/x
  3. Step 3: Cross multiply
    35,672x = 55,217 × 55,217
  4. Step 4: Simplify right side
    35,672x = 3,048,917,089
  5. Step 5: Solve for x
    x = 3,048,917,089/35,672
  6. Step 6: Final answer
    x = 85,470.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.