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Finding the Third Proportional to 10,959.75 and 14,721.75

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Solution

The third proportional to 10,959.75 and 14,721.75 is: 19,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.75 : 14,721.75 = 14,721.75 : x
  2. Step 2: Convert to fraction form
    10,959.75/14,721.75 = 14,721.75/x
  3. Step 3: Cross multiply
    10,959.75x = 14,721.75 × 14,721.75
  4. Step 4: Simplify right side
    10,959.75x = 216,729,923.06
  5. Step 5: Solve for x
    x = 216,729,923.06/10,959.75
  6. Step 6: Final answer
    x = 19,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.