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Finding the Third Proportional to 33,346 and 59,297

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Solution

The third proportional to 33,346 and 59,297 is: 105,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,346 : 59,297 = 59,297 : x
  2. Step 2: Convert to fraction form
    33,346/59,297 = 59,297/x
  3. Step 3: Cross multiply
    33,346x = 59,297 × 59,297
  4. Step 4: Simplify right side
    33,346x = 3,516,134,209
  5. Step 5: Solve for x
    x = 3,516,134,209/33,346
  6. Step 6: Final answer
    x = 105,443.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.