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Finding the Third Proportional to 35,517 and 76,413

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Solution

The third proportional to 35,517 and 76,413 is: 164,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517 : 76,413 = 76,413 : x
  2. Step 2: Convert to fraction form
    35,517/76,413 = 76,413/x
  3. Step 3: Cross multiply
    35,517x = 76,413 × 76,413
  4. Step 4: Simplify right side
    35,517x = 5,838,946,569
  5. Step 5: Solve for x
    x = 5,838,946,569/35,517
  6. Step 6: Final answer
    x = 164,398.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.