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Finding the Third Proportional to 24,937.50 and 53,529

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Solution

The third proportional to 24,937.50 and 53,529 is: 114,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.50 : 53,529 = 53,529 : x
  2. Step 2: Convert to fraction form
    24,937.50/53,529 = 53,529/x
  3. Step 3: Cross multiply
    24,937.50x = 53,529 × 53,529
  4. Step 4: Simplify right side
    24,937.50x = 2,865,353,841
  5. Step 5: Solve for x
    x = 2,865,353,841/24,937.50
  6. Step 6: Final answer
    x = 114,901.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.