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Finding the Third Proportional to 35,650 and 55,446

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Solution

The third proportional to 35,650 and 55,446 is: 86,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650 : 55,446 = 55,446 : x
  2. Step 2: Convert to fraction form
    35,650/55,446 = 55,446/x
  3. Step 3: Cross multiply
    35,650x = 55,446 × 55,446
  4. Step 4: Simplify right side
    35,650x = 3,074,258,916
  5. Step 5: Solve for x
    x = 3,074,258,916/35,650
  6. Step 6: Final answer
    x = 86,234.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.