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Finding the Third Proportional to 22,794.75 and 30,412.13

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Solution

The third proportional to 22,794.75 and 30,412.13 is: 40,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.75 : 30,412.13 = 30,412.13 : x
  2. Step 2: Convert to fraction form
    22,794.75/30,412.13 = 30,412.13/x
  3. Step 3: Cross multiply
    22,794.75x = 30,412.13 × 30,412.13
  4. Step 4: Simplify right side
    22,794.75x = 924,897,347.02
  5. Step 5: Solve for x
    x = 924,897,347.02/22,794.75
  6. Step 6: Final answer
    x = 40,575.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.