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Finding the Third Proportional to 3,886.04 and 8,326.10

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Solution

The third proportional to 3,886.04 and 8,326.10 is: 17,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.04 : 8,326.10 = 8,326.10 : x
  2. Step 2: Convert to fraction form
    3,886.04/8,326.10 = 8,326.10/x
  3. Step 3: Cross multiply
    3,886.04x = 8,326.10 × 8,326.10
  4. Step 4: Simplify right side
    3,886.04x = 69,323,967.23
  5. Step 5: Solve for x
    x = 69,323,967.23/3,886.04
  6. Step 6: Final answer
    x = 17,839.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.