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Finding the Third Proportional to 2,925.28 and 4,310.72

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Solution

The third proportional to 2,925.28 and 4,310.72 is: 6,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.28 : 4,310.72 = 4,310.72 : x
  2. Step 2: Convert to fraction form
    2,925.28/4,310.72 = 4,310.72/x
  3. Step 3: Cross multiply
    2,925.28x = 4,310.72 × 4,310.72
  4. Step 4: Simplify right side
    2,925.28x = 18,582,296.14
  5. Step 5: Solve for x
    x = 18,582,296.14/2,925.28
  6. Step 6: Final answer
    x = 6,352.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.