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Finding the Third Proportional to 19,857.66 and 42,593.34

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Solution

The third proportional to 19,857.66 and 42,593.34 is: 91,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.66 : 42,593.34 = 42,593.34 : x
  2. Step 2: Convert to fraction form
    19,857.66/42,593.34 = 42,593.34/x
  3. Step 3: Cross multiply
    19,857.66x = 42,593.34 × 42,593.34
  4. Step 4: Simplify right side
    19,857.66x = 1,814,192,931.81
  5. Step 5: Solve for x
    x = 1,814,192,931.81/19,857.66
  6. Step 6: Final answer
    x = 91,359.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.