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Finding the Third Proportional to 10,236.38 and 22,420.13

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Solution

The third proportional to 10,236.38 and 22,420.13 is: 49,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.38 : 22,420.13 = 22,420.13 : x
  2. Step 2: Convert to fraction form
    10,236.38/22,420.13 = 22,420.13/x
  3. Step 3: Cross multiply
    10,236.38x = 22,420.13 × 22,420.13
  4. Step 4: Simplify right side
    10,236.38x = 502,662,005.02
  5. Step 5: Solve for x
    x = 502,662,005.02/10,236.38
  6. Step 6: Final answer
    x = 49,105.47

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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.