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Finding the Third Proportional to 10,228.13 and 22,408.13

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Solution

The third proportional to 10,228.13 and 22,408.13 is: 49,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.13 : 22,408.13 = 22,408.13 : x
  2. Step 2: Convert to fraction form
    10,228.13/22,408.13 = 22,408.13/x
  3. Step 3: Cross multiply
    10,228.13x = 22,408.13 × 22,408.13
  4. Step 4: Simplify right side
    10,228.13x = 502,124,066.02
  5. Step 5: Solve for x
    x = 502,124,066.02/10,228.13
  6. Step 6: Final answer
    x = 49,092.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.