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Finding the Third Proportional to 35,288 and 76,336

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Solution

The third proportional to 35,288 and 76,336 is: 165,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,288 : 76,336 = 76,336 : x
  2. Step 2: Convert to fraction form
    35,288/76,336 = 76,336/x
  3. Step 3: Cross multiply
    35,288x = 76,336 × 76,336
  4. Step 4: Simplify right side
    35,288x = 5,827,184,896
  5. Step 5: Solve for x
    x = 5,827,184,896/35,288
  6. Step 6: Final answer
    x = 165,132.19

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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.