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Finding the Third Proportional to 9,234 and 14,321

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Solution

The third proportional to 9,234 and 14,321 is: 22,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 14,321 = 14,321 : x
  2. Step 2: Convert to fraction form
    9,234/14,321 = 14,321/x
  3. Step 3: Cross multiply
    9,234x = 14,321 × 14,321
  4. Step 4: Simplify right side
    9,234x = 205,091,041
  5. Step 5: Solve for x
    x = 205,091,041/9,234
  6. Step 6: Final answer
    x = 22,210.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.