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Finding the Third Proportional to 3,585.09 and 7,719.47

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Solution

The third proportional to 3,585.09 and 7,719.47 is: 16,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.09 : 7,719.47 = 7,719.47 : x
  2. Step 2: Convert to fraction form
    3,585.09/7,719.47 = 7,719.47/x
  3. Step 3: Cross multiply
    3,585.09x = 7,719.47 × 7,719.47
  4. Step 4: Simplify right side
    3,585.09x = 59,590,197.78
  5. Step 5: Solve for x
    x = 59,590,197.78/3,585.09
  6. Step 6: Final answer
    x = 16,621.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.