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Finding the Third Proportional to 27,408 and 64,080

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Solution

The third proportional to 27,408 and 64,080 is: 149,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 64,080 = 64,080 : x
  2. Step 2: Convert to fraction form
    27,408/64,080 = 64,080/x
  3. Step 3: Cross multiply
    27,408x = 64,080 × 64,080
  4. Step 4: Simplify right side
    27,408x = 4,106,246,400
  5. Step 5: Solve for x
    x = 4,106,246,400/27,408
  6. Step 6: Final answer
    x = 149,819.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.