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Finding the Third Proportional to 1,636 and 3,432

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Solution

The third proportional to 1,636 and 3,432 is: 7,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636 : 3,432 = 3,432 : x
  2. Step 2: Convert to fraction form
    1,636/3,432 = 3,432/x
  3. Step 3: Cross multiply
    1,636x = 3,432 × 3,432
  4. Step 4: Simplify right side
    1,636x = 11,778,624
  5. Step 5: Solve for x
    x = 11,778,624/1,636
  6. Step 6: Final answer
    x = 7,199.65

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