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Finding the Third Proportional to 20,233.55 and 47,259.70

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Solution

The third proportional to 20,233.55 and 47,259.70 is: 110,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.55 : 47,259.70 = 47,259.70 : x
  2. Step 2: Convert to fraction form
    20,233.55/47,259.70 = 47,259.70/x
  3. Step 3: Cross multiply
    20,233.55x = 47,259.70 × 47,259.70
  4. Step 4: Simplify right side
    20,233.55x = 2,233,479,539.46
  5. Step 5: Solve for x
    x = 2,233,479,539.46/20,233.55
  6. Step 6: Final answer
    x = 110,384.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.