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Finding the Third Proportional to 3,660 and 6,210

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Solution

The third proportional to 3,660 and 6,210 is: 10,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 6,210 = 6,210 : x
  2. Step 2: Convert to fraction form
    3,660/6,210 = 6,210/x
  3. Step 3: Cross multiply
    3,660x = 6,210 × 6,210
  4. Step 4: Simplify right side
    3,660x = 38,564,100
  5. Step 5: Solve for x
    x = 38,564,100/3,660
  6. Step 6: Final answer
    x = 10,536.64

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.