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Finding the Third Proportional to 15,077.25 and 22,164.19

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Solution

The third proportional to 15,077.25 and 22,164.19 is: 32,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.25 : 22,164.19 = 22,164.19 : x
  2. Step 2: Convert to fraction form
    15,077.25/22,164.19 = 22,164.19/x
  3. Step 3: Cross multiply
    15,077.25x = 22,164.19 × 22,164.19
  4. Step 4: Simplify right side
    15,077.25x = 491,251,207.54
  5. Step 5: Solve for x
    x = 491,251,207.54/15,077.25
  6. Step 6: Final answer
    x = 32,582.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.