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Finding the Third Proportional to 42,738 and 66,347

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Solution

The third proportional to 42,738 and 66,347 is: 102,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,738 : 66,347 = 66,347 : x
  2. Step 2: Convert to fraction form
    42,738/66,347 = 66,347/x
  3. Step 3: Cross multiply
    42,738x = 66,347 × 66,347
  4. Step 4: Simplify right side
    42,738x = 4,401,924,409
  5. Step 5: Solve for x
    x = 4,401,924,409/42,738
  6. Step 6: Final answer
    x = 102,997.90

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