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Finding the Third Proportional to 4,562 and 6,210

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Solution

The third proportional to 4,562 and 6,210 is: 8,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562 : 6,210 = 6,210 : x
  2. Step 2: Convert to fraction form
    4,562/6,210 = 6,210/x
  3. Step 3: Cross multiply
    4,562x = 6,210 × 6,210
  4. Step 4: Simplify right side
    4,562x = 38,564,100
  5. Step 5: Solve for x
    x = 38,564,100/4,562
  6. Step 6: Final answer
    x = 8,453.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.