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Finding the Third Proportional to 21,799.13 and 29,458.69

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Solution

The third proportional to 21,799.13 and 29,458.69 is: 39,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,799.13 : 29,458.69 = 29,458.69 : x
  2. Step 2: Convert to fraction form
    21,799.13/29,458.69 = 29,458.69/x
  3. Step 3: Cross multiply
    21,799.13x = 29,458.69 × 29,458.69
  4. Step 4: Simplify right side
    21,799.13x = 867,814,269.22
  5. Step 5: Solve for x
    x = 867,814,269.22/21,799.13
  6. Step 6: Final answer
    x = 39,809.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.