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Finding the Third Proportional to 22,350 and 30,780

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Solution

The third proportional to 22,350 and 30,780 is: 42,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350 : 30,780 = 30,780 : x
  2. Step 2: Convert to fraction form
    22,350/30,780 = 30,780/x
  3. Step 3: Cross multiply
    22,350x = 30,780 × 30,780
  4. Step 4: Simplify right side
    22,350x = 947,408,400
  5. Step 5: Solve for x
    x = 947,408,400/22,350
  6. Step 6: Final answer
    x = 42,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.