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Finding the Third Proportional to 15,717.38 and 32,268.38

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Solution

The third proportional to 15,717.38 and 32,268.38 is: 66,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.38 : 32,268.38 = 32,268.38 : x
  2. Step 2: Convert to fraction form
    15,717.38/32,268.38 = 32,268.38/x
  3. Step 3: Cross multiply
    15,717.38x = 32,268.38 × 32,268.38
  4. Step 4: Simplify right side
    15,717.38x = 1,041,248,025.14
  5. Step 5: Solve for x
    x = 1,041,248,025.14/15,717.38
  6. Step 6: Final answer
    x = 66,248.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.