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Finding the Third Proportional to 4,566.25 and 7,042.38

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Solution

The third proportional to 4,566.25 and 7,042.38 is: 10,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.25 : 7,042.38 = 7,042.38 : x
  2. Step 2: Convert to fraction form
    4,566.25/7,042.38 = 7,042.38/x
  3. Step 3: Cross multiply
    4,566.25x = 7,042.38 × 7,042.38
  4. Step 4: Simplify right side
    4,566.25x = 49,595,045.64
  5. Step 5: Solve for x
    x = 49,595,045.64/4,566.25
  6. Step 6: Final answer
    x = 10,861.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.