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Finding the Third Proportional to 16,102.13 and 34,585.31

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Solution

The third proportional to 16,102.13 and 34,585.31 is: 74,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.13 : 34,585.31 = 34,585.31 : x
  2. Step 2: Convert to fraction form
    16,102.13/34,585.31 = 34,585.31/x
  3. Step 3: Cross multiply
    16,102.13x = 34,585.31 × 34,585.31
  4. Step 4: Simplify right side
    16,102.13x = 1,196,143,840.72
  5. Step 5: Solve for x
    x = 1,196,143,840.72/16,102.13
  6. Step 6: Final answer
    x = 74,284.84

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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.