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Finding the Third Proportional to 4,368.56 and 6,175.69

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Solution

The third proportional to 4,368.56 and 6,175.69 is: 8,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.56 : 6,175.69 = 6,175.69 : x
  2. Step 2: Convert to fraction form
    4,368.56/6,175.69 = 6,175.69/x
  3. Step 3: Cross multiply
    4,368.56x = 6,175.69 × 6,175.69
  4. Step 4: Simplify right side
    4,368.56x = 38,139,116.10
  5. Step 5: Solve for x
    x = 38,139,116.10/4,368.56
  6. Step 6: Final answer
    x = 8,730.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.