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Finding the Third Proportional to 10,995 and 24,230.25

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Solution

The third proportional to 10,995 and 24,230.25 is: 53,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995 : 24,230.25 = 24,230.25 : x
  2. Step 2: Convert to fraction form
    10,995/24,230.25 = 24,230.25/x
  3. Step 3: Cross multiply
    10,995x = 24,230.25 × 24,230.25
  4. Step 4: Simplify right side
    10,995x = 587,105,015.06
  5. Step 5: Solve for x
    x = 587,105,015.06/10,995
  6. Step 6: Final answer
    x = 53,397.45

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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.