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Finding the Third Proportional to 41,135.25 and 61,433.63

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Solution

The third proportional to 41,135.25 and 61,433.63 is: 91,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,135.25 : 61,433.63 = 61,433.63 : x
  2. Step 2: Convert to fraction form
    41,135.25/61,433.63 = 61,433.63/x
  3. Step 3: Cross multiply
    41,135.25x = 61,433.63 × 61,433.63
  4. Step 4: Simplify right side
    41,135.25x = 3,774,090,280.64
  5. Step 5: Solve for x
    x = 3,774,090,280.64/41,135.25
  6. Step 6: Final answer
    x = 91,748.32

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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.