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Finding the Third Proportional to 15,018 and 25,617

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Solution

The third proportional to 15,018 and 25,617 is: 43,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 25,617 = 25,617 : x
  2. Step 2: Convert to fraction form
    15,018/25,617 = 25,617/x
  3. Step 3: Cross multiply
    15,018x = 25,617 × 25,617
  4. Step 4: Simplify right side
    15,018x = 656,230,689
  5. Step 5: Solve for x
    x = 656,230,689/15,018
  6. Step 6: Final answer
    x = 43,696.28

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.