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Finding the Third Proportional to 9,028 and 13,498

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Solution

The third proportional to 9,028 and 13,498 is: 20,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028 : 13,498 = 13,498 : x
  2. Step 2: Convert to fraction form
    9,028/13,498 = 13,498/x
  3. Step 3: Cross multiply
    9,028x = 13,498 × 13,498
  4. Step 4: Simplify right side
    9,028x = 182,196,004
  5. Step 5: Solve for x
    x = 182,196,004/9,028
  6. Step 6: Final answer
    x = 20,181.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.