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Finding the Third Proportional to 8,673.75 and 10,959.75

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Solution

The third proportional to 8,673.75 and 10,959.75 is: 13,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.75 : 10,959.75 = 10,959.75 : x
  2. Step 2: Convert to fraction form
    8,673.75/10,959.75 = 10,959.75/x
  3. Step 3: Cross multiply
    8,673.75x = 10,959.75 × 10,959.75
  4. Step 4: Simplify right side
    8,673.75x = 120,116,120.06
  5. Step 5: Solve for x
    x = 120,116,120.06/8,673.75
  6. Step 6: Final answer
    x = 13,848.23

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.