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Finding the Third Proportional to 32,767 and 70,207

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Solution

The third proportional to 32,767 and 70,207 is: 150,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767 : 70,207 = 70,207 : x
  2. Step 2: Convert to fraction form
    32,767/70,207 = 70,207/x
  3. Step 3: Cross multiply
    32,767x = 70,207 × 70,207
  4. Step 4: Simplify right side
    32,767x = 4,929,022,849
  5. Step 5: Solve for x
    x = 4,929,022,849/32,767
  6. Step 6: Final answer
    x = 150,426.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.