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Finding the Third Proportional to 4,320.84 and 7,065.98

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Solution

The third proportional to 4,320.84 and 7,065.98 is: 11,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.84 : 7,065.98 = 7,065.98 : x
  2. Step 2: Convert to fraction form
    4,320.84/7,065.98 = 7,065.98/x
  3. Step 3: Cross multiply
    4,320.84x = 7,065.98 × 7,065.98
  4. Step 4: Simplify right side
    4,320.84x = 49,928,135.19
  5. Step 5: Solve for x
    x = 49,928,135.19/4,320.84
  6. Step 6: Final answer
    x = 11,555.18

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.