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Finding the Third Proportional to 10,730.25 and 16,701.75

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Solution

The third proportional to 10,730.25 and 16,701.75 is: 25,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.25 : 16,701.75 = 16,701.75 : x
  2. Step 2: Convert to fraction form
    10,730.25/16,701.75 = 16,701.75/x
  3. Step 3: Cross multiply
    10,730.25x = 16,701.75 × 16,701.75
  4. Step 4: Simplify right side
    10,730.25x = 278,948,453.06
  5. Step 5: Solve for x
    x = 278,948,453.06/10,730.25
  6. Step 6: Final answer
    x = 25,996.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.