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Finding the Third Proportional to 16,594.88 and 24,839.16

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Solution

The third proportional to 16,594.88 and 24,839.16 is: 37,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.88 : 24,839.16 = 24,839.16 : x
  2. Step 2: Convert to fraction form
    16,594.88/24,839.16 = 24,839.16/x
  3. Step 3: Cross multiply
    16,594.88x = 24,839.16 × 24,839.16
  4. Step 4: Simplify right side
    16,594.88x = 616,983,683.21
  5. Step 5: Solve for x
    x = 616,983,683.21/16,594.88
  6. Step 6: Final answer
    x = 37,179.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.