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Finding the Third Proportional to 2,795.13 and 4,329.07

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Solution

The third proportional to 2,795.13 and 4,329.07 is: 6,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.13 : 4,329.07 = 4,329.07 : x
  2. Step 2: Convert to fraction form
    2,795.13/4,329.07 = 4,329.07/x
  3. Step 3: Cross multiply
    2,795.13x = 4,329.07 × 4,329.07
  4. Step 4: Simplify right side
    2,795.13x = 18,740,849.77
  5. Step 5: Solve for x
    x = 18,740,849.77/2,795.13
  6. Step 6: Final answer
    x = 6,704.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.