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Finding the Third Proportional to 43,346 and 58,875

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Solution

The third proportional to 43,346 and 58,875 is: 79,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 58,875 = 58,875 : x
  2. Step 2: Convert to fraction form
    43,346/58,875 = 58,875/x
  3. Step 3: Cross multiply
    43,346x = 58,875 × 58,875
  4. Step 4: Simplify right side
    43,346x = 3,466,265,625
  5. Step 5: Solve for x
    x = 3,466,265,625/43,346
  6. Step 6: Final answer
    x = 79,967.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.