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Finding the Third Proportional to 5,167.55 and 7,810.17

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Solution

The third proportional to 5,167.55 and 7,810.17 is: 11,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 7,810.17 = 7,810.17 : x
  2. Step 2: Convert to fraction form
    5,167.55/7,810.17 = 7,810.17/x
  3. Step 3: Cross multiply
    5,167.55x = 7,810.17 × 7,810.17
  4. Step 4: Simplify right side
    5,167.55x = 60,998,784.72
  5. Step 5: Solve for x
    x = 60,998,784.72/5,167.55
  6. Step 6: Final answer
    x = 11,804.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.