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Finding the Third Proportional to 40,792.50 and 86,478.75

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Solution

The third proportional to 40,792.50 and 86,478.75 is: 183,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,792.50 : 86,478.75 = 86,478.75 : x
  2. Step 2: Convert to fraction form
    40,792.50/86,478.75 = 86,478.75/x
  3. Step 3: Cross multiply
    40,792.50x = 86,478.75 × 86,478.75
  4. Step 4: Simplify right side
    40,792.50x = 7,478,574,201.56
  5. Step 5: Solve for x
    x = 7,478,574,201.56/40,792.50
  6. Step 6: Final answer
    x = 183,332.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.