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Finding the Third Proportional to 3,878.51 and 6,168.02

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Solution

The third proportional to 3,878.51 and 6,168.02 is: 9,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.51 : 6,168.02 = 6,168.02 : x
  2. Step 2: Convert to fraction form
    3,878.51/6,168.02 = 6,168.02/x
  3. Step 3: Cross multiply
    3,878.51x = 6,168.02 × 6,168.02
  4. Step 4: Simplify right side
    3,878.51x = 38,044,513.13
  5. Step 5: Solve for x
    x = 38,044,513.13/3,878.51
  6. Step 6: Final answer
    x = 9,809.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.