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Finding the Third Proportional to 27,944 and 42,110

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Solution

The third proportional to 27,944 and 42,110 is: 63,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 42,110 = 42,110 : x
  2. Step 2: Convert to fraction form
    27,944/42,110 = 42,110/x
  3. Step 3: Cross multiply
    27,944x = 42,110 × 42,110
  4. Step 4: Simplify right side
    27,944x = 1,773,252,100
  5. Step 5: Solve for x
    x = 1,773,252,100/27,944
  6. Step 6: Final answer
    x = 63,457.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.