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Finding the Third Proportional to 1,497 and 2,332

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Solution

The third proportional to 1,497 and 2,332 is: 3,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497 : 2,332 = 2,332 : x
  2. Step 2: Convert to fraction form
    1,497/2,332 = 2,332/x
  3. Step 3: Cross multiply
    1,497x = 2,332 × 2,332
  4. Step 4: Simplify right side
    1,497x = 5,438,224
  5. Step 5: Solve for x
    x = 5,438,224/1,497
  6. Step 6: Final answer
    x = 3,632.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.