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Finding the Third Proportional to 27,408 and 43,574

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Solution

The third proportional to 27,408 and 43,574 is: 69,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 43,574 = 43,574 : x
  2. Step 2: Convert to fraction form
    27,408/43,574 = 43,574/x
  3. Step 3: Cross multiply
    27,408x = 43,574 × 43,574
  4. Step 4: Simplify right side
    27,408x = 1,898,693,476
  5. Step 5: Solve for x
    x = 1,898,693,476/27,408
  6. Step 6: Final answer
    x = 69,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.