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Finding the Third Proportional to 23,478.75 and 52,206.75

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Solution

The third proportional to 23,478.75 and 52,206.75 is: 116,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.75 : 52,206.75 = 52,206.75 : x
  2. Step 2: Convert to fraction form
    23,478.75/52,206.75 = 52,206.75/x
  3. Step 3: Cross multiply
    23,478.75x = 52,206.75 × 52,206.75
  4. Step 4: Simplify right side
    23,478.75x = 2,725,544,745.56
  5. Step 5: Solve for x
    x = 2,725,544,745.56/23,478.75
  6. Step 6: Final answer
    x = 116,085.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.