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Finding the Third Proportional to 40,662 and 89,004

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Solution

The third proportional to 40,662 and 89,004 is: 194,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,662 : 89,004 = 89,004 : x
  2. Step 2: Convert to fraction form
    40,662/89,004 = 89,004/x
  3. Step 3: Cross multiply
    40,662x = 89,004 × 89,004
  4. Step 4: Simplify right side
    40,662x = 7,921,712,016
  5. Step 5: Solve for x
    x = 7,921,712,016/40,662
  6. Step 6: Final answer
    x = 194,818.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.