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Finding the Third Proportional to 43,285.50 and 58,293

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Solution

The third proportional to 43,285.50 and 58,293 is: 78,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,285.50 : 58,293 = 58,293 : x
  2. Step 2: Convert to fraction form
    43,285.50/58,293 = 58,293/x
  3. Step 3: Cross multiply
    43,285.50x = 58,293 × 58,293
  4. Step 4: Simplify right side
    43,285.50x = 3,398,073,849
  5. Step 5: Solve for x
    x = 3,398,073,849/43,285.50
  6. Step 6: Final answer
    x = 78,503.74

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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.