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Finding the Third Proportional to 39,548.53 and 85,312.41

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Solution

The third proportional to 39,548.53 and 85,312.41 is: 184,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548.53 : 85,312.41 = 85,312.41 : x
  2. Step 2: Convert to fraction form
    39,548.53/85,312.41 = 85,312.41/x
  3. Step 3: Cross multiply
    39,548.53x = 85,312.41 × 85,312.41
  4. Step 4: Simplify right side
    39,548.53x = 7,278,206,660.17
  5. Step 5: Solve for x
    x = 7,278,206,660.17/39,548.53
  6. Step 6: Final answer
    x = 184,032.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.