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Finding the Third Proportional to 41,003.16 and 66,954.94

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Solution

The third proportional to 41,003.16 and 66,954.94 is: 109,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,003.16 : 66,954.94 = 66,954.94 : x
  2. Step 2: Convert to fraction form
    41,003.16/66,954.94 = 66,954.94/x
  3. Step 3: Cross multiply
    41,003.16x = 66,954.94 × 66,954.94
  4. Step 4: Simplify right side
    41,003.16x = 4,482,963,655.63
  5. Step 5: Solve for x
    x = 4,482,963,655.63/41,003.16
  6. Step 6: Final answer
    x = 109,332.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.