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Finding the Third Proportional to 5,632 and 8,210

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Solution

The third proportional to 5,632 and 8,210 is: 11,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632 : 8,210 = 8,210 : x
  2. Step 2: Convert to fraction form
    5,632/8,210 = 8,210/x
  3. Step 3: Cross multiply
    5,632x = 8,210 × 8,210
  4. Step 4: Simplify right side
    5,632x = 67,404,100
  5. Step 5: Solve for x
    x = 67,404,100/5,632
  6. Step 6: Final answer
    x = 11,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.