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Finding the Third Proportional to 9,229 and 18,730

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Solution

The third proportional to 9,229 and 18,730 is: 38,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 18,730 = 18,730 : x
  2. Step 2: Convert to fraction form
    9,229/18,730 = 18,730/x
  3. Step 3: Cross multiply
    9,229x = 18,730 × 18,730
  4. Step 4: Simplify right side
    9,229x = 350,812,900
  5. Step 5: Solve for x
    x = 350,812,900/9,229
  6. Step 6: Final answer
    x = 38,012.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.