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Finding the Third Proportional to 3,332 and 7,210

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Solution

The third proportional to 3,332 and 7,210 is: 15,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332 : 7,210 = 7,210 : x
  2. Step 2: Convert to fraction form
    3,332/7,210 = 7,210/x
  3. Step 3: Cross multiply
    3,332x = 7,210 × 7,210
  4. Step 4: Simplify right side
    3,332x = 51,984,100
  5. Step 5: Solve for x
    x = 51,984,100/3,332
  6. Step 6: Final answer
    x = 15,601.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.