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Finding the Third Proportional to 33,076 and 47,154

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Solution

The third proportional to 33,076 and 47,154 is: 67,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076 : 47,154 = 47,154 : x
  2. Step 2: Convert to fraction form
    33,076/47,154 = 47,154/x
  3. Step 3: Cross multiply
    33,076x = 47,154 × 47,154
  4. Step 4: Simplify right side
    33,076x = 2,223,499,716
  5. Step 5: Solve for x
    x = 2,223,499,716/33,076
  6. Step 6: Final answer
    x = 67,223.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.