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Finding the Third Proportional to 3,870 and 9,495

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Solution

The third proportional to 3,870 and 9,495 is: 23,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 9,495 = 9,495 : x
  2. Step 2: Convert to fraction form
    3,870/9,495 = 9,495/x
  3. Step 3: Cross multiply
    3,870x = 9,495 × 9,495
  4. Step 4: Simplify right side
    3,870x = 90,155,025
  5. Step 5: Solve for x
    x = 90,155,025/3,870
  6. Step 6: Final answer
    x = 23,295.87

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.