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Finding the Third Proportional to 39,201 and 57,877.50

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Solution

The third proportional to 39,201 and 57,877.50 is: 85,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201 : 57,877.50 = 57,877.50 : x
  2. Step 2: Convert to fraction form
    39,201/57,877.50 = 57,877.50/x
  3. Step 3: Cross multiply
    39,201x = 57,877.50 × 57,877.50
  4. Step 4: Simplify right side
    39,201x = 3,349,805,006.25
  5. Step 5: Solve for x
    x = 3,349,805,006.25/39,201
  6. Step 6: Final answer
    x = 85,452.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.