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Finding the Third Proportional to 10,233.84 and 22,415.91

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Solution

The third proportional to 10,233.84 and 22,415.91 is: 49,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.84 : 22,415.91 = 22,415.91 : x
  2. Step 2: Convert to fraction form
    10,233.84/22,415.91 = 22,415.91/x
  3. Step 3: Cross multiply
    10,233.84x = 22,415.91 × 22,415.91
  4. Step 4: Simplify right side
    10,233.84x = 502,472,853.01
  5. Step 5: Solve for x
    x = 502,472,853.01/10,233.84
  6. Step 6: Final answer
    x = 49,099.13

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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.