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Finding the Third Proportional to 7,169.53 and 16,868.06

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Solution

The third proportional to 7,169.53 and 16,868.06 is: 39,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.53 : 16,868.06 = 16,868.06 : x
  2. Step 2: Convert to fraction form
    7,169.53/16,868.06 = 16,868.06/x
  3. Step 3: Cross multiply
    7,169.53x = 16,868.06 × 16,868.06
  4. Step 4: Simplify right side
    7,169.53x = 284,531,532.50
  5. Step 5: Solve for x
    x = 284,531,532.50/7,169.53
  6. Step 6: Final answer
    x = 39,686.21

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.