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Finding the Third Proportional to 23,572 and 50,835

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Solution

The third proportional to 23,572 and 50,835 is: 109,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572 : 50,835 = 50,835 : x
  2. Step 2: Convert to fraction form
    23,572/50,835 = 50,835/x
  3. Step 3: Cross multiply
    23,572x = 50,835 × 50,835
  4. Step 4: Simplify right side
    23,572x = 2,584,197,225
  5. Step 5: Solve for x
    x = 2,584,197,225/23,572
  6. Step 6: Final answer
    x = 109,629.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.