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Finding the Third Proportional to 5,220 and 10,986.50

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Solution

The third proportional to 5,220 and 10,986.50 is: 23,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 10,986.50 = 10,986.50 : x
  2. Step 2: Convert to fraction form
    5,220/10,986.50 = 10,986.50/x
  3. Step 3: Cross multiply
    5,220x = 10,986.50 × 10,986.50
  4. Step 4: Simplify right side
    5,220x = 120,703,182.25
  5. Step 5: Solve for x
    x = 120,703,182.25/5,220
  6. Step 6: Final answer
    x = 23,123.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.