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Finding the Third Proportional to 10,780 and 24,190

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Solution

The third proportional to 10,780 and 24,190 is: 54,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780 : 24,190 = 24,190 : x
  2. Step 2: Convert to fraction form
    10,780/24,190 = 24,190/x
  3. Step 3: Cross multiply
    10,780x = 24,190 × 24,190
  4. Step 4: Simplify right side
    10,780x = 585,156,100
  5. Step 5: Solve for x
    x = 585,156,100/10,780
  6. Step 6: Final answer
    x = 54,281.64

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.