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Finding the Third Proportional to 43,346 and 58,107

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Solution

The third proportional to 43,346 and 58,107 is: 77,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 58,107 = 58,107 : x
  2. Step 2: Convert to fraction form
    43,346/58,107 = 58,107/x
  3. Step 3: Cross multiply
    43,346x = 58,107 × 58,107
  4. Step 4: Simplify right side
    43,346x = 3,376,423,449
  5. Step 5: Solve for x
    x = 3,376,423,449/43,346
  6. Step 6: Final answer
    x = 77,894.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.