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Finding the Third Proportional to 39,600 and 85,437

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Solution

The third proportional to 39,600 and 85,437 is: 184,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 85,437 = 85,437 : x
  2. Step 2: Convert to fraction form
    39,600/85,437 = 85,437/x
  3. Step 3: Cross multiply
    39,600x = 85,437 × 85,437
  4. Step 4: Simplify right side
    39,600x = 7,299,480,969
  5. Step 5: Solve for x
    x = 7,299,480,969/39,600
  6. Step 6: Final answer
    x = 184,330.33

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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.