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Finding the Third Proportional to 46,218.50 and 71,366

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Solution

The third proportional to 46,218.50 and 71,366 is: 110,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,218.50 : 71,366 = 71,366 : x
  2. Step 2: Convert to fraction form
    46,218.50/71,366 = 71,366/x
  3. Step 3: Cross multiply
    46,218.50x = 71,366 × 71,366
  4. Step 4: Simplify right side
    46,218.50x = 5,093,105,956
  5. Step 5: Solve for x
    x = 5,093,105,956/46,218.50
  6. Step 6: Final answer
    x = 110,196.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.