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Finding the Third Proportional to 43,174 and 58,334

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Solution

The third proportional to 43,174 and 58,334 is: 78,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174 : 58,334 = 58,334 : x
  2. Step 2: Convert to fraction form
    43,174/58,334 = 58,334/x
  3. Step 3: Cross multiply
    43,174x = 58,334 × 58,334
  4. Step 4: Simplify right side
    43,174x = 3,402,855,556
  5. Step 5: Solve for x
    x = 3,402,855,556/43,174
  6. Step 6: Final answer
    x = 78,817.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.