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Finding the Third Proportional to 10,989 and 17,043.75

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Solution

The third proportional to 10,989 and 17,043.75 is: 26,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 17,043.75 = 17,043.75 : x
  2. Step 2: Convert to fraction form
    10,989/17,043.75 = 17,043.75/x
  3. Step 3: Cross multiply
    10,989x = 17,043.75 × 17,043.75
  4. Step 4: Simplify right side
    10,989x = 290,489,414.06
  5. Step 5: Solve for x
    x = 290,489,414.06/10,989
  6. Step 6: Final answer
    x = 26,434.56

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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.