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Finding the Third Proportional to 40,114.50 and 61,664.25

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Solution

The third proportional to 40,114.50 and 61,664.25 is: 94,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,114.50 : 61,664.25 = 61,664.25 : x
  2. Step 2: Convert to fraction form
    40,114.50/61,664.25 = 61,664.25/x
  3. Step 3: Cross multiply
    40,114.50x = 61,664.25 × 61,664.25
  4. Step 4: Simplify right side
    40,114.50x = 3,802,479,728.06
  5. Step 5: Solve for x
    x = 3,802,479,728.06/40,114.50
  6. Step 6: Final answer
    x = 94,790.65

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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.