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Finding the Third Proportional to 40,784.06 and 57,434.06

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Solution

The third proportional to 40,784.06 and 57,434.06 is: 80,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784.06 : 57,434.06 = 57,434.06 : x
  2. Step 2: Convert to fraction form
    40,784.06/57,434.06 = 57,434.06/x
  3. Step 3: Cross multiply
    40,784.06x = 57,434.06 × 57,434.06
  4. Step 4: Simplify right side
    40,784.06x = 3,298,671,535.25
  5. Step 5: Solve for x
    x = 3,298,671,535.25/40,784.06
  6. Step 6: Final answer
    x = 80,881.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.