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Finding the Third Proportional to 5,547.09 and 8,323.31

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Solution

The third proportional to 5,547.09 and 8,323.31 is: 12,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.09 : 8,323.31 = 8,323.31 : x
  2. Step 2: Convert to fraction form
    5,547.09/8,323.31 = 8,323.31/x
  3. Step 3: Cross multiply
    5,547.09x = 8,323.31 × 8,323.31
  4. Step 4: Simplify right side
    5,547.09x = 69,277,530.97
  5. Step 5: Solve for x
    x = 69,277,530.97/5,547.09
  6. Step 6: Final answer
    x = 12,488.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.