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Finding the Third Proportional to 10,656 and 17,022.75

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Solution

The third proportional to 10,656 and 17,022.75 is: 27,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 17,022.75 = 17,022.75 : x
  2. Step 2: Convert to fraction form
    10,656/17,022.75 = 17,022.75/x
  3. Step 3: Cross multiply
    10,656x = 17,022.75 × 17,022.75
  4. Step 4: Simplify right side
    10,656x = 289,774,017.56
  5. Step 5: Solve for x
    x = 289,774,017.56/10,656
  6. Step 6: Final answer
    x = 27,193.51

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.