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Finding the Third Proportional to 9,811.13 and 22,523.06

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Solution

The third proportional to 9,811.13 and 22,523.06 is: 51,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 22,523.06 = 22,523.06 : x
  2. Step 2: Convert to fraction form
    9,811.13/22,523.06 = 22,523.06/x
  3. Step 3: Cross multiply
    9,811.13x = 22,523.06 × 22,523.06
  4. Step 4: Simplify right side
    9,811.13x = 507,288,344.38
  5. Step 5: Solve for x
    x = 507,288,344.38/9,811.13
  6. Step 6: Final answer
    x = 51,705.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.