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Finding the Third Proportional to 10,801.13 and 22,998.38

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Solution

The third proportional to 10,801.13 and 22,998.38 is: 48,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.13 : 22,998.38 = 22,998.38 : x
  2. Step 2: Convert to fraction form
    10,801.13/22,998.38 = 22,998.38/x
  3. Step 3: Cross multiply
    10,801.13x = 22,998.38 × 22,998.38
  4. Step 4: Simplify right side
    10,801.13x = 528,925,252.64
  5. Step 5: Solve for x
    x = 528,925,252.64/10,801.13
  6. Step 6: Final answer
    x = 48,969.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.