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Finding the Third Proportional to 3,492 and 7,346

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Solution

The third proportional to 3,492 and 7,346 is: 15,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492 : 7,346 = 7,346 : x
  2. Step 2: Convert to fraction form
    3,492/7,346 = 7,346/x
  3. Step 3: Cross multiply
    3,492x = 7,346 × 7,346
  4. Step 4: Simplify right side
    3,492x = 53,963,716
  5. Step 5: Solve for x
    x = 53,963,716/3,492
  6. Step 6: Final answer
    x = 15,453.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.