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Finding the Third Proportional to 26,004 and 55,452

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Solution

The third proportional to 26,004 and 55,452 is: 118,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004 : 55,452 = 55,452 : x
  2. Step 2: Convert to fraction form
    26,004/55,452 = 55,452/x
  3. Step 3: Cross multiply
    26,004x = 55,452 × 55,452
  4. Step 4: Simplify right side
    26,004x = 3,074,924,304
  5. Step 5: Solve for x
    x = 3,074,924,304/26,004
  6. Step 6: Final answer
    x = 118,248.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.