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Finding the Third Proportional to 38,662 and 90,332

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Solution

The third proportional to 38,662 and 90,332 is: 211,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662 : 90,332 = 90,332 : x
  2. Step 2: Convert to fraction form
    38,662/90,332 = 90,332/x
  3. Step 3: Cross multiply
    38,662x = 90,332 × 90,332
  4. Step 4: Simplify right side
    38,662x = 8,159,870,224
  5. Step 5: Solve for x
    x = 8,159,870,224/38,662
  6. Step 6: Final answer
    x = 211,056.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.