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Finding the Third Proportional to 12,080 and 26,230

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Solution

The third proportional to 12,080 and 26,230 is: 56,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080 : 26,230 = 26,230 : x
  2. Step 2: Convert to fraction form
    12,080/26,230 = 26,230/x
  3. Step 3: Cross multiply
    12,080x = 26,230 × 26,230
  4. Step 4: Simplify right side
    12,080x = 688,012,900
  5. Step 5: Solve for x
    x = 688,012,900/12,080
  6. Step 6: Final answer
    x = 56,954.71

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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.