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Finding the Third Proportional to 24,658 and 54,584

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Solution

The third proportional to 24,658 and 54,584 is: 120,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658 : 54,584 = 54,584 : x
  2. Step 2: Convert to fraction form
    24,658/54,584 = 54,584/x
  3. Step 3: Cross multiply
    24,658x = 54,584 × 54,584
  4. Step 4: Simplify right side
    24,658x = 2,979,413,056
  5. Step 5: Solve for x
    x = 2,979,413,056/24,658
  6. Step 6: Final answer
    x = 120,829.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.