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Finding the Third Proportional to 4,368.38 and 6,765.19

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Solution

The third proportional to 4,368.38 and 6,765.19 is: 10,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.38 : 6,765.19 = 6,765.19 : x
  2. Step 2: Convert to fraction form
    4,368.38/6,765.19 = 6,765.19/x
  3. Step 3: Cross multiply
    4,368.38x = 6,765.19 × 6,765.19
  4. Step 4: Simplify right side
    4,368.38x = 45,767,761.91
  5. Step 5: Solve for x
    x = 45,767,761.91/4,368.38
  6. Step 6: Final answer
    x = 10,477.07

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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.