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Finding the Third Proportional to 18,586.13 and 26,622

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Solution

The third proportional to 18,586.13 and 26,622 is: 38,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.13 : 26,622 = 26,622 : x
  2. Step 2: Convert to fraction form
    18,586.13/26,622 = 26,622/x
  3. Step 3: Cross multiply
    18,586.13x = 26,622 × 26,622
  4. Step 4: Simplify right side
    18,586.13x = 708,730,884
  5. Step 5: Solve for x
    x = 708,730,884/18,586.13
  6. Step 6: Final answer
    x = 38,132.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.