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Finding the Third Proportional to 10,135.13 and 22,297.78

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Solution

The third proportional to 10,135.13 and 22,297.78 is: 49,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.13 : 22,297.78 = 22,297.78 : x
  2. Step 2: Convert to fraction form
    10,135.13/22,297.78 = 22,297.78/x
  3. Step 3: Cross multiply
    10,135.13x = 22,297.78 × 22,297.78
  4. Step 4: Simplify right side
    10,135.13x = 497,191,048.67
  5. Step 5: Solve for x
    x = 497,191,048.67/10,135.13
  6. Step 6: Final answer
    x = 49,056.23

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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.