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Finding the Third Proportional to 10,955.25 and 16,959.38

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Solution

The third proportional to 10,955.25 and 16,959.38 is: 26,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.25 : 16,959.38 = 16,959.38 : x
  2. Step 2: Convert to fraction form
    10,955.25/16,959.38 = 16,959.38/x
  3. Step 3: Cross multiply
    10,955.25x = 16,959.38 × 16,959.38
  4. Step 4: Simplify right side
    10,955.25x = 287,620,400.39
  5. Step 5: Solve for x
    x = 287,620,400.39/10,955.25
  6. Step 6: Final answer
    x = 26,254.12

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Why These Related Problems?

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