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Finding the Third Proportional to 40,157.50 and 58,796

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Solution

The third proportional to 40,157.50 and 58,796 is: 86,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,157.50 : 58,796 = 58,796 : x
  2. Step 2: Convert to fraction form
    40,157.50/58,796 = 58,796/x
  3. Step 3: Cross multiply
    40,157.50x = 58,796 × 58,796
  4. Step 4: Simplify right side
    40,157.50x = 3,456,969,616
  5. Step 5: Solve for x
    x = 3,456,969,616/40,157.50
  6. Step 6: Final answer
    x = 86,085.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.