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Finding the Third Proportional to 1,633 and 3,522

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Solution

The third proportional to 1,633 and 3,522 is: 7,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633 : 3,522 = 3,522 : x
  2. Step 2: Convert to fraction form
    1,633/3,522 = 3,522/x
  3. Step 3: Cross multiply
    1,633x = 3,522 × 3,522
  4. Step 4: Simplify right side
    1,633x = 12,404,484
  5. Step 5: Solve for x
    x = 12,404,484/1,633
  6. Step 6: Final answer
    x = 7,596.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.