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Finding the Third Proportional to 5,069.63 and 6,781.31

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Solution

The third proportional to 5,069.63 and 6,781.31 is: 9,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.63 : 6,781.31 = 6,781.31 : x
  2. Step 2: Convert to fraction form
    5,069.63/6,781.31 = 6,781.31/x
  3. Step 3: Cross multiply
    5,069.63x = 6,781.31 × 6,781.31
  4. Step 4: Simplify right side
    5,069.63x = 45,986,199.22
  5. Step 5: Solve for x
    x = 45,986,199.22/5,069.63
  6. Step 6: Final answer
    x = 9,070.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.