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Finding the Third Proportional to 40,773.75 and 84,345.38

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Solution

The third proportional to 40,773.75 and 84,345.38 is: 174,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,773.75 : 84,345.38 = 84,345.38 : x
  2. Step 2: Convert to fraction form
    40,773.75/84,345.38 = 84,345.38/x
  3. Step 3: Cross multiply
    40,773.75x = 84,345.38 × 84,345.38
  4. Step 4: Simplify right side
    40,773.75x = 7,114,142,283.89
  5. Step 5: Solve for x
    x = 7,114,142,283.89/40,773.75
  6. Step 6: Final answer
    x = 174,478.49

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.