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Finding the Third Proportional to 39,998.25 and 92,598.75

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Solution

The third proportional to 39,998.25 and 92,598.75 is: 214,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,998.25 : 92,598.75 = 92,598.75 : x
  2. Step 2: Convert to fraction form
    39,998.25/92,598.75 = 92,598.75/x
  3. Step 3: Cross multiply
    39,998.25x = 92,598.75 × 92,598.75
  4. Step 4: Simplify right side
    39,998.25x = 8,574,528,501.56
  5. Step 5: Solve for x
    x = 8,574,528,501.56/39,998.25
  6. Step 6: Final answer
    x = 214,372.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.