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Finding the Third Proportional to 14,976 and 22,650

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Solution

The third proportional to 14,976 and 22,650 is: 34,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,650 = 22,650 : x
  2. Step 2: Convert to fraction form
    14,976/22,650 = 22,650/x
  3. Step 3: Cross multiply
    14,976x = 22,650 × 22,650
  4. Step 4: Simplify right side
    14,976x = 513,022,500
  5. Step 5: Solve for x
    x = 513,022,500/14,976
  6. Step 6: Final answer
    x = 34,256.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.