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Finding the Third Proportional to 10,854 and 17,131.50

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Solution

The third proportional to 10,854 and 17,131.50 is: 27,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 17,131.50 = 17,131.50 : x
  2. Step 2: Convert to fraction form
    10,854/17,131.50 = 17,131.50/x
  3. Step 3: Cross multiply
    10,854x = 17,131.50 × 17,131.50
  4. Step 4: Simplify right side
    10,854x = 293,488,292.25
  5. Step 5: Solve for x
    x = 293,488,292.25/10,854
  6. Step 6: Final answer
    x = 27,039.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.