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Finding the Third Proportional to 12,024 and 26,386

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Solution

The third proportional to 12,024 and 26,386 is: 57,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 26,386 = 26,386 : x
  2. Step 2: Convert to fraction form
    12,024/26,386 = 26,386/x
  3. Step 3: Cross multiply
    12,024x = 26,386 × 26,386
  4. Step 4: Simplify right side
    12,024x = 696,220,996
  5. Step 5: Solve for x
    x = 696,220,996/12,024
  6. Step 6: Final answer
    x = 57,902.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.