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Finding the Third Proportional to 4,196 and 9,752

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Solution

The third proportional to 4,196 and 9,752 is: 22,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 9,752 = 9,752 : x
  2. Step 2: Convert to fraction form
    4,196/9,752 = 9,752/x
  3. Step 3: Cross multiply
    4,196x = 9,752 × 9,752
  4. Step 4: Simplify right side
    4,196x = 95,101,504
  5. Step 5: Solve for x
    x = 95,101,504/4,196
  6. Step 6: Final answer
    x = 22,664.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.