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Finding the Third Proportional to 40,143.94 and 61,728.19

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Solution

The third proportional to 40,143.94 and 61,728.19 is: 94,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,143.94 : 61,728.19 = 61,728.19 : x
  2. Step 2: Convert to fraction form
    40,143.94/61,728.19 = 61,728.19/x
  3. Step 3: Cross multiply
    40,143.94x = 61,728.19 × 61,728.19
  4. Step 4: Simplify right side
    40,143.94x = 3,810,369,132.04
  5. Step 5: Solve for x
    x = 3,810,369,132.04/40,143.94
  6. Step 6: Final answer
    x = 94,917.67

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Why These Related Problems?

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