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Finding the Third Proportional to 9,731.25 and 14,682.38

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Solution

The third proportional to 9,731.25 and 14,682.38 is: 22,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.25 : 14,682.38 = 14,682.38 : x
  2. Step 2: Convert to fraction form
    9,731.25/14,682.38 = 14,682.38/x
  3. Step 3: Cross multiply
    9,731.25x = 14,682.38 × 14,682.38
  4. Step 4: Simplify right side
    9,731.25x = 215,572,135.64
  5. Step 5: Solve for x
    x = 215,572,135.64/9,731.25
  6. Step 6: Final answer
    x = 22,152.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.