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Finding the Third Proportional to 22,041 and 47,263.50

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Solution

The third proportional to 22,041 and 47,263.50 is: 101,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041 : 47,263.50 = 47,263.50 : x
  2. Step 2: Convert to fraction form
    22,041/47,263.50 = 47,263.50/x
  3. Step 3: Cross multiply
    22,041x = 47,263.50 × 47,263.50
  4. Step 4: Simplify right side
    22,041x = 2,233,838,432.25
  5. Step 5: Solve for x
    x = 2,233,838,432.25/22,041
  6. Step 6: Final answer
    x = 101,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.