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Finding the Third Proportional to 39,971.81 and 92,545.88

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Solution

The third proportional to 39,971.81 and 92,545.88 is: 214,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971.81 : 92,545.88 = 92,545.88 : x
  2. Step 2: Convert to fraction form
    39,971.81/92,545.88 = 92,545.88/x
  3. Step 3: Cross multiply
    39,971.81x = 92,545.88 × 92,545.88
  4. Step 4: Simplify right side
    39,971.81x = 8,564,738,979.52
  5. Step 5: Solve for x
    x = 8,564,738,979.52/39,971.81
  6. Step 6: Final answer
    x = 214,269.47

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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.