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Finding the Third Proportional to 4,196 and 9,052

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Solution

The third proportional to 4,196 and 9,052 is: 19,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 9,052 = 9,052 : x
  2. Step 2: Convert to fraction form
    4,196/9,052 = 9,052/x
  3. Step 3: Cross multiply
    4,196x = 9,052 × 9,052
  4. Step 4: Simplify right side
    4,196x = 81,938,704
  5. Step 5: Solve for x
    x = 81,938,704/4,196
  6. Step 6: Final answer
    x = 19,527.81

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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.