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Finding the Third Proportional to 23,196 and 35,118

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Solution

The third proportional to 23,196 and 35,118 is: 53,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 35,118 = 35,118 : x
  2. Step 2: Convert to fraction form
    23,196/35,118 = 35,118/x
  3. Step 3: Cross multiply
    23,196x = 35,118 × 35,118
  4. Step 4: Simplify right side
    23,196x = 1,233,273,924
  5. Step 5: Solve for x
    x = 1,233,273,924/23,196
  6. Step 6: Final answer
    x = 53,167.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.