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Finding the Third Proportional to 15,665.48 and 24,268.64

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Solution

The third proportional to 15,665.48 and 24,268.64 is: 37,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.48 : 24,268.64 = 24,268.64 : x
  2. Step 2: Convert to fraction form
    15,665.48/24,268.64 = 24,268.64/x
  3. Step 3: Cross multiply
    15,665.48x = 24,268.64 × 24,268.64
  4. Step 4: Simplify right side
    15,665.48x = 588,966,917.79
  5. Step 5: Solve for x
    x = 588,966,917.79/15,665.48
  6. Step 6: Final answer
    x = 37,596.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.