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Finding the Third Proportional to 6,473.67 and 7,111.55

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Solution

The third proportional to 6,473.67 and 7,111.55 is: 7,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.67 : 7,111.55 = 7,111.55 : x
  2. Step 2: Convert to fraction form
    6,473.67/7,111.55 = 7,111.55/x
  3. Step 3: Cross multiply
    6,473.67x = 7,111.55 × 7,111.55
  4. Step 4: Simplify right side
    6,473.67x = 50,574,098.96
  5. Step 5: Solve for x
    x = 50,574,098.96/6,473.67
  6. Step 6: Final answer
    x = 7,812.27

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.