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Finding the Third Proportional to 23,354 and 51,250

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Solution

The third proportional to 23,354 and 51,250 is: 112,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354 : 51,250 = 51,250 : x
  2. Step 2: Convert to fraction form
    23,354/51,250 = 51,250/x
  3. Step 3: Cross multiply
    23,354x = 51,250 × 51,250
  4. Step 4: Simplify right side
    23,354x = 2,626,562,500
  5. Step 5: Solve for x
    x = 2,626,562,500/23,354
  6. Step 6: Final answer
    x = 112,467.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.