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Finding the Third Proportional to 15,841 and 23,791

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Solution

The third proportional to 15,841 and 23,791 is: 35,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841 : 23,791 = 23,791 : x
  2. Step 2: Convert to fraction form
    15,841/23,791 = 23,791/x
  3. Step 3: Cross multiply
    15,841x = 23,791 × 23,791
  4. Step 4: Simplify right side
    15,841x = 566,011,681
  5. Step 5: Solve for x
    x = 566,011,681/15,841
  6. Step 6: Final answer
    x = 35,730.80

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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.