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Finding the Third Proportional to 3,547.13 and 8,391.94

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Solution

The third proportional to 3,547.13 and 8,391.94 is: 19,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.13 : 8,391.94 = 8,391.94 : x
  2. Step 2: Convert to fraction form
    3,547.13/8,391.94 = 8,391.94/x
  3. Step 3: Cross multiply
    3,547.13x = 8,391.94 × 8,391.94
  4. Step 4: Simplify right side
    3,547.13x = 70,424,615.00
  5. Step 5: Solve for x
    x = 70,424,615.00/3,547.13
  6. Step 6: Final answer
    x = 19,854.00

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.