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Finding the Third Proportional to 4,306 and 4,684

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Solution

The third proportional to 4,306 and 4,684 is: 5,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 4,684 = 4,684 : x
  2. Step 2: Convert to fraction form
    4,306/4,684 = 4,684/x
  3. Step 3: Cross multiply
    4,306x = 4,684 × 4,684
  4. Step 4: Simplify right side
    4,306x = 21,939,856
  5. Step 5: Solve for x
    x = 21,939,856/4,306
  6. Step 6: Final answer
    x = 5,095.18

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.