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Finding the Third Proportional to 4,688 and 8,336

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Solution

The third proportional to 4,688 and 8,336 is: 14,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 8,336 = 8,336 : x
  2. Step 2: Convert to fraction form
    4,688/8,336 = 8,336/x
  3. Step 3: Cross multiply
    4,688x = 8,336 × 8,336
  4. Step 4: Simplify right side
    4,688x = 69,488,896
  5. Step 5: Solve for x
    x = 69,488,896/4,688
  6. Step 6: Final answer
    x = 14,822.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.