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Finding the Third Proportional to 9,534 and 20,914

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Solution

The third proportional to 9,534 and 20,914 is: 45,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 20,914 = 20,914 : x
  2. Step 2: Convert to fraction form
    9,534/20,914 = 20,914/x
  3. Step 3: Cross multiply
    9,534x = 20,914 × 20,914
  4. Step 4: Simplify right side
    9,534x = 437,395,396
  5. Step 5: Solve for x
    x = 437,395,396/9,534
  6. Step 6: Final answer
    x = 45,877.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.