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Finding the Third Proportional to 47,207.81 and 66,004.88

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Solution

The third proportional to 47,207.81 and 66,004.88 is: 92,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.81 : 66,004.88 = 66,004.88 : x
  2. Step 2: Convert to fraction form
    47,207.81/66,004.88 = 66,004.88/x
  3. Step 3: Cross multiply
    47,207.81x = 66,004.88 × 66,004.88
  4. Step 4: Simplify right side
    47,207.81x = 4,356,643,523.77
  5. Step 5: Solve for x
    x = 4,356,643,523.77/47,207.81
  6. Step 6: Final answer
    x = 92,286.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.