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Finding the Third Proportional to 41,152.50 and 61,458

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Solution

The third proportional to 41,152.50 and 61,458 is: 91,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,152.50 : 61,458 = 61,458 : x
  2. Step 2: Convert to fraction form
    41,152.50/61,458 = 61,458/x
  3. Step 3: Cross multiply
    41,152.50x = 61,458 × 61,458
  4. Step 4: Simplify right side
    41,152.50x = 3,777,085,764
  5. Step 5: Solve for x
    x = 3,777,085,764/41,152.50
  6. Step 6: Final answer
    x = 91,782.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.