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Finding the Third Proportional to 6,911.25 and 10,673.25

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Solution

The third proportional to 6,911.25 and 10,673.25 is: 16,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.25 : 10,673.25 = 10,673.25 : x
  2. Step 2: Convert to fraction form
    6,911.25/10,673.25 = 10,673.25/x
  3. Step 3: Cross multiply
    6,911.25x = 10,673.25 × 10,673.25
  4. Step 4: Simplify right side
    6,911.25x = 113,918,265.56
  5. Step 5: Solve for x
    x = 113,918,265.56/6,911.25
  6. Step 6: Final answer
    x = 16,483.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.