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Finding the Third Proportional to 42,350 and 65,943

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Solution

The third proportional to 42,350 and 65,943 is: 102,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,350 : 65,943 = 65,943 : x
  2. Step 2: Convert to fraction form
    42,350/65,943 = 65,943/x
  3. Step 3: Cross multiply
    42,350x = 65,943 × 65,943
  4. Step 4: Simplify right side
    42,350x = 4,348,479,249
  5. Step 5: Solve for x
    x = 4,348,479,249/42,350
  6. Step 6: Final answer
    x = 102,679.56

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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.