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Finding the Third Proportional to 10,412.93 and 22,902.75

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Solution

The third proportional to 10,412.93 and 22,902.75 is: 50,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.93 : 22,902.75 = 22,902.75 : x
  2. Step 2: Convert to fraction form
    10,412.93/22,902.75 = 22,902.75/x
  3. Step 3: Cross multiply
    10,412.93x = 22,902.75 × 22,902.75
  4. Step 4: Simplify right side
    10,412.93x = 524,535,957.56
  5. Step 5: Solve for x
    x = 524,535,957.56/10,412.93
  6. Step 6: Final answer
    x = 50,373.52

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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.