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Finding the Third Proportional to 4,016 and 8,823.50

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Solution

The third proportional to 4,016 and 8,823.50 is: 19,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 8,823.50 = 8,823.50 : x
  2. Step 2: Convert to fraction form
    4,016/8,823.50 = 8,823.50/x
  3. Step 3: Cross multiply
    4,016x = 8,823.50 × 8,823.50
  4. Step 4: Simplify right side
    4,016x = 77,854,152.25
  5. Step 5: Solve for x
    x = 77,854,152.25/4,016
  6. Step 6: Final answer
    x = 19,385.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.