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Finding the Third Proportional to 39,986.50 and 92,570

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Solution

The third proportional to 39,986.50 and 92,570 is: 214,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,986.50 : 92,570 = 92,570 : x
  2. Step 2: Convert to fraction form
    39,986.50/92,570 = 92,570/x
  3. Step 3: Cross multiply
    39,986.50x = 92,570 × 92,570
  4. Step 4: Simplify right side
    39,986.50x = 8,569,204,900
  5. Step 5: Solve for x
    x = 8,569,204,900/39,986.50
  6. Step 6: Final answer
    x = 214,302.45

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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.