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Finding the Third Proportional to 2,730.09 and 4,329.70

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Solution

The third proportional to 2,730.09 and 4,329.70 is: 6,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.09 : 4,329.70 = 4,329.70 : x
  2. Step 2: Convert to fraction form
    2,730.09/4,329.70 = 4,329.70/x
  3. Step 3: Cross multiply
    2,730.09x = 4,329.70 × 4,329.70
  4. Step 4: Simplify right side
    2,730.09x = 18,746,329.15
  5. Step 5: Solve for x
    x = 18,746,329.15/2,730.09
  6. Step 6: Final answer
    x = 6,866.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.