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Finding the Third Proportional to 4,320.84 and 6,520.92

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Solution

The third proportional to 4,320.84 and 6,520.92 is: 9,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.84 : 6,520.92 = 6,520.92 : x
  2. Step 2: Convert to fraction form
    4,320.84/6,520.92 = 6,520.92/x
  3. Step 3: Cross multiply
    4,320.84x = 6,520.92 × 6,520.92
  4. Step 4: Simplify right side
    4,320.84x = 42,522,422.10
  5. Step 5: Solve for x
    x = 42,522,422.10/4,320.84
  6. Step 6: Final answer
    x = 9,841.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.