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Finding the Third Proportional to 10,586.64 and 23,018.55

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Solution

The third proportional to 10,586.64 and 23,018.55 is: 50,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.64 : 23,018.55 = 23,018.55 : x
  2. Step 2: Convert to fraction form
    10,586.64/23,018.55 = 23,018.55/x
  3. Step 3: Cross multiply
    10,586.64x = 23,018.55 × 23,018.55
  4. Step 4: Simplify right side
    10,586.64x = 529,853,859.90
  5. Step 5: Solve for x
    x = 529,853,859.90/10,586.64
  6. Step 6: Final answer
    x = 50,049.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.