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Finding the Third Proportional to 10,952.25 and 17,110.50

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Solution

The third proportional to 10,952.25 and 17,110.50 is: 26,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.25 : 17,110.50 = 17,110.50 : x
  2. Step 2: Convert to fraction form
    10,952.25/17,110.50 = 17,110.50/x
  3. Step 3: Cross multiply
    10,952.25x = 17,110.50 × 17,110.50
  4. Step 4: Simplify right side
    10,952.25x = 292,769,210.25
  5. Step 5: Solve for x
    x = 292,769,210.25/10,952.25
  6. Step 6: Final answer
    x = 26,731.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.