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Finding the Third Proportional to 39,021 and 92,077.50

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Solution

The third proportional to 39,021 and 92,077.50 is: 217,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021 : 92,077.50 = 92,077.50 : x
  2. Step 2: Convert to fraction form
    39,021/92,077.50 = 92,077.50/x
  3. Step 3: Cross multiply
    39,021x = 92,077.50 × 92,077.50
  4. Step 4: Simplify right side
    39,021x = 8,478,266,006.25
  5. Step 5: Solve for x
    x = 8,478,266,006.25/39,021
  6. Step 6: Final answer
    x = 217,274.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.