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Finding the Third Proportional to 24,826.50 and 52,206

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Solution

The third proportional to 24,826.50 and 52,206 is: 109,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.50 : 52,206 = 52,206 : x
  2. Step 2: Convert to fraction form
    24,826.50/52,206 = 52,206/x
  3. Step 3: Cross multiply
    24,826.50x = 52,206 × 52,206
  4. Step 4: Simplify right side
    24,826.50x = 2,725,466,436
  5. Step 5: Solve for x
    x = 2,725,466,436/24,826.50
  6. Step 6: Final answer
    x = 109,780.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.