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Finding the Third Proportional to 10,730.25 and 16,601.06

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Solution

The third proportional to 10,730.25 and 16,601.06 is: 25,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.25 : 16,601.06 = 16,601.06 : x
  2. Step 2: Convert to fraction form
    10,730.25/16,601.06 = 16,601.06/x
  3. Step 3: Cross multiply
    10,730.25x = 16,601.06 × 16,601.06
  4. Step 4: Simplify right side
    10,730.25x = 275,595,276.13
  5. Step 5: Solve for x
    x = 275,595,276.13/10,730.25
  6. Step 6: Final answer
    x = 25,683.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.