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Finding the Third Proportional to 6,804.84 and 10,248.19

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Solution

The third proportional to 6,804.84 and 10,248.19 is: 15,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.84 : 10,248.19 = 10,248.19 : x
  2. Step 2: Convert to fraction form
    6,804.84/10,248.19 = 10,248.19/x
  3. Step 3: Cross multiply
    6,804.84x = 10,248.19 × 10,248.19
  4. Step 4: Simplify right side
    6,804.84x = 105,025,347.04
  5. Step 5: Solve for x
    x = 105,025,347.04/6,804.84
  6. Step 6: Final answer
    x = 15,433.91

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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.