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Finding the Third Proportional to 33,730 and 73,534

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Solution

The third proportional to 33,730 and 73,534 is: 160,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730 : 73,534 = 73,534 : x
  2. Step 2: Convert to fraction form
    33,730/73,534 = 73,534/x
  3. Step 3: Cross multiply
    33,730x = 73,534 × 73,534
  4. Step 4: Simplify right side
    33,730x = 5,407,249,156
  5. Step 5: Solve for x
    x = 5,407,249,156/33,730
  6. Step 6: Final answer
    x = 160,309.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.