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Finding the Third Proportional to 26,101 and 48,008

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Solution

The third proportional to 26,101 and 48,008 is: 88,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101 : 48,008 = 48,008 : x
  2. Step 2: Convert to fraction form
    26,101/48,008 = 48,008/x
  3. Step 3: Cross multiply
    26,101x = 48,008 × 48,008
  4. Step 4: Simplify right side
    26,101x = 2,304,768,064
  5. Step 5: Solve for x
    x = 2,304,768,064/26,101
  6. Step 6: Final answer
    x = 88,301.91

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.