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Finding the Third Proportional to 22,853 and 50,957.50

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Solution

The third proportional to 22,853 and 50,957.50 is: 113,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853 : 50,957.50 = 50,957.50 : x
  2. Step 2: Convert to fraction form
    22,853/50,957.50 = 50,957.50/x
  3. Step 3: Cross multiply
    22,853x = 50,957.50 × 50,957.50
  4. Step 4: Simplify right side
    22,853x = 2,596,666,806.25
  5. Step 5: Solve for x
    x = 2,596,666,806.25/22,853
  6. Step 6: Final answer
    x = 113,624.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.