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Finding the Third Proportional to 15,959.25 and 21,468.38

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Solution

The third proportional to 15,959.25 and 21,468.38 is: 28,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.25 : 21,468.38 = 21,468.38 : x
  2. Step 2: Convert to fraction form
    15,959.25/21,468.38 = 21,468.38/x
  3. Step 3: Cross multiply
    15,959.25x = 21,468.38 × 21,468.38
  4. Step 4: Simplify right side
    15,959.25x = 460,891,125.14
  5. Step 5: Solve for x
    x = 460,891,125.14/15,959.25
  6. Step 6: Final answer
    x = 28,879.25

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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.