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Finding the Third Proportional to 15,408 and 32,994

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Solution

The third proportional to 15,408 and 32,994 is: 70,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 32,994 = 32,994 : x
  2. Step 2: Convert to fraction form
    15,408/32,994 = 32,994/x
  3. Step 3: Cross multiply
    15,408x = 32,994 × 32,994
  4. Step 4: Simplify right side
    15,408x = 1,088,604,036
  5. Step 5: Solve for x
    x = 1,088,604,036/15,408
  6. Step 6: Final answer
    x = 70,651.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.