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Finding the Third Proportional to 4,957.50 and 10,926

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Solution

The third proportional to 4,957.50 and 10,926 is: 24,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.50 : 10,926 = 10,926 : x
  2. Step 2: Convert to fraction form
    4,957.50/10,926 = 10,926/x
  3. Step 3: Cross multiply
    4,957.50x = 10,926 × 10,926
  4. Step 4: Simplify right side
    4,957.50x = 119,377,476
  5. Step 5: Solve for x
    x = 119,377,476/4,957.50
  6. Step 6: Final answer
    x = 24,080.18

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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.