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Finding the Third Proportional to 15,617 and 33,862

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Solution

The third proportional to 15,617 and 33,862 is: 73,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617 : 33,862 = 33,862 : x
  2. Step 2: Convert to fraction form
    15,617/33,862 = 33,862/x
  3. Step 3: Cross multiply
    15,617x = 33,862 × 33,862
  4. Step 4: Simplify right side
    15,617x = 1,146,635,044
  5. Step 5: Solve for x
    x = 1,146,635,044/15,617
  6. Step 6: Final answer
    x = 73,422.24

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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.