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Finding the Third Proportional to 24,120 and 51,700

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Solution

The third proportional to 24,120 and 51,700 is: 110,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 51,700 = 51,700 : x
  2. Step 2: Convert to fraction form
    24,120/51,700 = 51,700/x
  3. Step 3: Cross multiply
    24,120x = 51,700 × 51,700
  4. Step 4: Simplify right side
    24,120x = 2,672,890,000
  5. Step 5: Solve for x
    x = 2,672,890,000/24,120
  6. Step 6: Final answer
    x = 110,816.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.