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Finding the Third Proportional to 16,115 and 24,796.50

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Solution

The third proportional to 16,115 and 24,796.50 is: 38,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115 : 24,796.50 = 24,796.50 : x
  2. Step 2: Convert to fraction form
    16,115/24,796.50 = 24,796.50/x
  3. Step 3: Cross multiply
    16,115x = 24,796.50 × 24,796.50
  4. Step 4: Simplify right side
    16,115x = 614,866,412.25
  5. Step 5: Solve for x
    x = 614,866,412.25/16,115
  6. Step 6: Final answer
    x = 38,154.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.