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Finding the Third Proportional to 6,286.15 and 9,320.70

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Solution

The third proportional to 6,286.15 and 9,320.70 is: 13,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.15 : 9,320.70 = 9,320.70 : x
  2. Step 2: Convert to fraction form
    6,286.15/9,320.70 = 9,320.70/x
  3. Step 3: Cross multiply
    6,286.15x = 9,320.70 × 9,320.70
  4. Step 4: Simplify right side
    6,286.15x = 86,875,361.11
  5. Step 5: Solve for x
    x = 86,875,361.11/6,286.15
  6. Step 6: Final answer
    x = 13,820.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.