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Finding the Third Proportional to 18,080 and 26,566

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Solution

The third proportional to 18,080 and 26,566 is: 39,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,080 : 26,566 = 26,566 : x
  2. Step 2: Convert to fraction form
    18,080/26,566 = 26,566/x
  3. Step 3: Cross multiply
    18,080x = 26,566 × 26,566
  4. Step 4: Simplify right side
    18,080x = 705,752,356
  5. Step 5: Solve for x
    x = 705,752,356/18,080
  6. Step 6: Final answer
    x = 39,034.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.