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Finding the Third Proportional to 16,725 and 22,780

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Solution

The third proportional to 16,725 and 22,780 is: 31,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725 : 22,780 = 22,780 : x
  2. Step 2: Convert to fraction form
    16,725/22,780 = 22,780/x
  3. Step 3: Cross multiply
    16,725x = 22,780 × 22,780
  4. Step 4: Simplify right side
    16,725x = 518,928,400
  5. Step 5: Solve for x
    x = 518,928,400/16,725
  6. Step 6: Final answer
    x = 31,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.