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Finding the Third Proportional to 9,432.84 and 19,989.84

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Solution

The third proportional to 9,432.84 and 19,989.84 is: 42,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.84 : 19,989.84 = 19,989.84 : x
  2. Step 2: Convert to fraction form
    9,432.84/19,989.84 = 19,989.84/x
  3. Step 3: Cross multiply
    9,432.84x = 19,989.84 × 19,989.84
  4. Step 4: Simplify right side
    9,432.84x = 399,593,853.15
  5. Step 5: Solve for x
    x = 399,593,853.15/9,432.84
  6. Step 6: Final answer
    x = 42,361.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.