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Finding the Third Proportional to 24,601 and 50,952.50

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Solution

The third proportional to 24,601 and 50,952.50 is: 105,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601 : 50,952.50 = 50,952.50 : x
  2. Step 2: Convert to fraction form
    24,601/50,952.50 = 50,952.50/x
  3. Step 3: Cross multiply
    24,601x = 50,952.50 × 50,952.50
  4. Step 4: Simplify right side
    24,601x = 2,596,157,256.25
  5. Step 5: Solve for x
    x = 2,596,157,256.25/24,601
  6. Step 6: Final answer
    x = 105,530.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.