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Finding the Third Proportional to 13,471.50 and 29,274.75

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Solution

The third proportional to 13,471.50 and 29,274.75 is: 63,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.50 : 29,274.75 = 29,274.75 : x
  2. Step 2: Convert to fraction form
    13,471.50/29,274.75 = 29,274.75/x
  3. Step 3: Cross multiply
    13,471.50x = 29,274.75 × 29,274.75
  4. Step 4: Simplify right side
    13,471.50x = 857,010,987.56
  5. Step 5: Solve for x
    x = 857,010,987.56/13,471.50
  6. Step 6: Final answer
    x = 63,616.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.