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Finding the Third Proportional to 27,205 and 40,681

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Solution

The third proportional to 27,205 and 40,681 is: 60,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205 : 40,681 = 40,681 : x
  2. Step 2: Convert to fraction form
    27,205/40,681 = 40,681/x
  3. Step 3: Cross multiply
    27,205x = 40,681 × 40,681
  4. Step 4: Simplify right side
    27,205x = 1,654,943,761
  5. Step 5: Solve for x
    x = 1,654,943,761/27,205
  6. Step 6: Final answer
    x = 60,832.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.