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Finding the Third Proportional to 12,184 and 26,454

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Solution

The third proportional to 12,184 and 26,454 is: 57,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184 : 26,454 = 26,454 : x
  2. Step 2: Convert to fraction form
    12,184/26,454 = 26,454/x
  3. Step 3: Cross multiply
    12,184x = 26,454 × 26,454
  4. Step 4: Simplify right side
    12,184x = 699,814,116
  5. Step 5: Solve for x
    x = 699,814,116/12,184
  6. Step 6: Final answer
    x = 57,437.14

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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.