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Finding the Third Proportional to 15,581 and 33,791

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Solution

The third proportional to 15,581 and 33,791 is: 73,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581 : 33,791 = 33,791 : x
  2. Step 2: Convert to fraction form
    15,581/33,791 = 33,791/x
  3. Step 3: Cross multiply
    15,581x = 33,791 × 33,791
  4. Step 4: Simplify right side
    15,581x = 1,141,831,681
  5. Step 5: Solve for x
    x = 1,141,831,681/15,581
  6. Step 6: Final answer
    x = 73,283.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.