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Finding the Third Proportional to 9,234 and 22,538.25

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Solution

The third proportional to 9,234 and 22,538.25 is: 55,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 22,538.25 = 22,538.25 : x
  2. Step 2: Convert to fraction form
    9,234/22,538.25 = 22,538.25/x
  3. Step 3: Cross multiply
    9,234x = 22,538.25 × 22,538.25
  4. Step 4: Simplify right side
    9,234x = 507,972,713.06
  5. Step 5: Solve for x
    x = 507,972,713.06/9,234
  6. Step 6: Final answer
    x = 55,011.12

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.