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Finding the Third Proportional to 33,460 and 72,434

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Solution

The third proportional to 33,460 and 72,434 is: 156,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,460 : 72,434 = 72,434 : x
  2. Step 2: Convert to fraction form
    33,460/72,434 = 72,434/x
  3. Step 3: Cross multiply
    33,460x = 72,434 × 72,434
  4. Step 4: Simplify right side
    33,460x = 5,246,684,356
  5. Step 5: Solve for x
    x = 5,246,684,356/33,460
  6. Step 6: Final answer
    x = 156,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.