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Finding the Third Proportional to 35,218 and 75,986

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Solution

The third proportional to 35,218 and 75,986 is: 163,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 75,986 = 75,986 : x
  2. Step 2: Convert to fraction form
    35,218/75,986 = 75,986/x
  3. Step 3: Cross multiply
    35,218x = 75,986 × 75,986
  4. Step 4: Simplify right side
    35,218x = 5,773,872,196
  5. Step 5: Solve for x
    x = 5,773,872,196/35,218
  6. Step 6: Final answer
    x = 163,946.62

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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.