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Finding the Third Proportional to 9,034 and 20,914

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Solution

The third proportional to 9,034 and 20,914 is: 48,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034 : 20,914 = 20,914 : x
  2. Step 2: Convert to fraction form
    9,034/20,914 = 20,914/x
  3. Step 3: Cross multiply
    9,034x = 20,914 × 20,914
  4. Step 4: Simplify right side
    9,034x = 437,395,396
  5. Step 5: Solve for x
    x = 437,395,396/9,034
  6. Step 6: Final answer
    x = 48,416.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.