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Finding the Third Proportional to 12,264.33 and 26,003.11

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Solution

The third proportional to 12,264.33 and 26,003.11 is: 55,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.33 : 26,003.11 = 26,003.11 : x
  2. Step 2: Convert to fraction form
    12,264.33/26,003.11 = 26,003.11/x
  3. Step 3: Cross multiply
    12,264.33x = 26,003.11 × 26,003.11
  4. Step 4: Simplify right side
    12,264.33x = 676,161,697.17
  5. Step 5: Solve for x
    x = 676,161,697.17/12,264.33
  6. Step 6: Final answer
    x = 55,132.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.