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Finding the Third Proportional to 3,166 and 7,490

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Solution

The third proportional to 3,166 and 7,490 is: 17,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 7,490 = 7,490 : x
  2. Step 2: Convert to fraction form
    3,166/7,490 = 7,490/x
  3. Step 3: Cross multiply
    3,166x = 7,490 × 7,490
  4. Step 4: Simplify right side
    3,166x = 56,100,100
  5. Step 5: Solve for x
    x = 56,100,100/3,166
  6. Step 6: Final answer
    x = 17,719.55

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.