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Finding the Third Proportional to 10,297.13 and 22,181.63

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Solution

The third proportional to 10,297.13 and 22,181.63 is: 47,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 22,181.63 = 22,181.63 : x
  2. Step 2: Convert to fraction form
    10,297.13/22,181.63 = 22,181.63/x
  3. Step 3: Cross multiply
    10,297.13x = 22,181.63 × 22,181.63
  4. Step 4: Simplify right side
    10,297.13x = 492,024,487.64
  5. Step 5: Solve for x
    x = 492,024,487.64/10,297.13
  6. Step 6: Final answer
    x = 47,782.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.