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Finding the Third Proportional to 24,786 and 54,486

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Solution

The third proportional to 24,786 and 54,486 is: 119,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 54,486 = 54,486 : x
  2. Step 2: Convert to fraction form
    24,786/54,486 = 54,486/x
  3. Step 3: Cross multiply
    24,786x = 54,486 × 54,486
  4. Step 4: Simplify right side
    24,786x = 2,968,724,196
  5. Step 5: Solve for x
    x = 2,968,724,196/24,786
  6. Step 6: Final answer
    x = 119,774.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.