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Finding the Third Proportional to 42,310.50 and 59,208

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Solution

The third proportional to 42,310.50 and 59,208 is: 82,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,310.50 : 59,208 = 59,208 : x
  2. Step 2: Convert to fraction form
    42,310.50/59,208 = 59,208/x
  3. Step 3: Cross multiply
    42,310.50x = 59,208 × 59,208
  4. Step 4: Simplify right side
    42,310.50x = 3,505,587,264
  5. Step 5: Solve for x
    x = 3,505,587,264/42,310.50
  6. Step 6: Final answer
    x = 82,853.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.