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Finding the Third Proportional to 3,213 and 4,708

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Solution

The third proportional to 3,213 and 4,708 is: 6,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,708 = 4,708 : x
  2. Step 2: Convert to fraction form
    3,213/4,708 = 4,708/x
  3. Step 3: Cross multiply
    3,213x = 4,708 × 4,708
  4. Step 4: Simplify right side
    3,213x = 22,165,264
  5. Step 5: Solve for x
    x = 22,165,264/3,213
  6. Step 6: Final answer
    x = 6,898.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.