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Finding the Third Proportional to 7,772.20 and 16,560.07

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Solution

The third proportional to 7,772.20 and 16,560.07 is: 35,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.20 : 16,560.07 = 16,560.07 : x
  2. Step 2: Convert to fraction form
    7,772.20/16,560.07 = 16,560.07/x
  3. Step 3: Cross multiply
    7,772.20x = 16,560.07 × 16,560.07
  4. Step 4: Simplify right side
    7,772.20x = 274,235,928.75
  5. Step 5: Solve for x
    x = 274,235,928.75/7,772.20
  6. Step 6: Final answer
    x = 35,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.