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Finding the Third Proportional to 17,642 and 27,246

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Solution

The third proportional to 17,642 and 27,246 is: 42,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642 : 27,246 = 27,246 : x
  2. Step 2: Convert to fraction form
    17,642/27,246 = 27,246/x
  3. Step 3: Cross multiply
    17,642x = 27,246 × 27,246
  4. Step 4: Simplify right side
    17,642x = 742,344,516
  5. Step 5: Solve for x
    x = 742,344,516/17,642
  6. Step 6: Final answer
    x = 42,078.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.