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Finding the Third Proportional to 24,672 and 55,200

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Solution

The third proportional to 24,672 and 55,200 is: 123,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672 : 55,200 = 55,200 : x
  2. Step 2: Convert to fraction form
    24,672/55,200 = 55,200/x
  3. Step 3: Cross multiply
    24,672x = 55,200 × 55,200
  4. Step 4: Simplify right side
    24,672x = 3,047,040,000
  5. Step 5: Solve for x
    x = 3,047,040,000/24,672
  6. Step 6: Final answer
    x = 123,501.95

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.