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Finding the Third Proportional to 40,020 and 57,963.75

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Solution

The third proportional to 40,020 and 57,963.75 is: 83,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,020 : 57,963.75 = 57,963.75 : x
  2. Step 2: Convert to fraction form
    40,020/57,963.75 = 57,963.75/x
  3. Step 3: Cross multiply
    40,020x = 57,963.75 × 57,963.75
  4. Step 4: Simplify right side
    40,020x = 3,359,796,314.06
  5. Step 5: Solve for x
    x = 3,359,796,314.06/40,020
  6. Step 6: Final answer
    x = 83,952.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.