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Finding the Third Proportional to 1,212 and 1,332

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Solution

The third proportional to 1,212 and 1,332 is: 1,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,332 = 1,332 : x
  2. Step 2: Convert to fraction form
    1,212/1,332 = 1,332/x
  3. Step 3: Cross multiply
    1,212x = 1,332 × 1,332
  4. Step 4: Simplify right side
    1,212x = 1,774,224
  5. Step 5: Solve for x
    x = 1,774,224/1,212
  6. Step 6: Final answer
    x = 1,463.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.