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Finding the Third Proportional to 8,299.13 and 15,464.25

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Solution

The third proportional to 8,299.13 and 15,464.25 is: 28,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.13 : 15,464.25 = 15,464.25 : x
  2. Step 2: Convert to fraction form
    8,299.13/15,464.25 = 15,464.25/x
  3. Step 3: Cross multiply
    8,299.13x = 15,464.25 × 15,464.25
  4. Step 4: Simplify right side
    8,299.13x = 239,143,028.06
  5. Step 5: Solve for x
    x = 239,143,028.06/8,299.13
  6. Step 6: Final answer
    x = 28,815.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.