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Finding the Third Proportional to 10,957.50 and 24,102

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Solution

The third proportional to 10,957.50 and 24,102 is: 53,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.50 : 24,102 = 24,102 : x
  2. Step 2: Convert to fraction form
    10,957.50/24,102 = 24,102/x
  3. Step 3: Cross multiply
    10,957.50x = 24,102 × 24,102
  4. Step 4: Simplify right side
    10,957.50x = 580,906,404
  5. Step 5: Solve for x
    x = 580,906,404/10,957.50
  6. Step 6: Final answer
    x = 53,014.50

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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.