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Finding the Third Proportional to 23,419.13 and 33,852.94

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Solution

The third proportional to 23,419.13 and 33,852.94 is: 48,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.13 : 33,852.94 = 33,852.94 : x
  2. Step 2: Convert to fraction form
    23,419.13/33,852.94 = 33,852.94/x
  3. Step 3: Cross multiply
    23,419.13x = 33,852.94 × 33,852.94
  4. Step 4: Simplify right side
    23,419.13x = 1,146,021,377.38
  5. Step 5: Solve for x
    x = 1,146,021,377.38/23,419.13
  6. Step 6: Final answer
    x = 48,935.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.