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Finding the Third Proportional to 37,946.50 and 58,631

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Solution

The third proportional to 37,946.50 and 58,631 is: 90,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,946.50 : 58,631 = 58,631 : x
  2. Step 2: Convert to fraction form
    37,946.50/58,631 = 58,631/x
  3. Step 3: Cross multiply
    37,946.50x = 58,631 × 58,631
  4. Step 4: Simplify right side
    37,946.50x = 3,437,594,161
  5. Step 5: Solve for x
    x = 3,437,594,161/37,946.50
  6. Step 6: Final answer
    x = 90,590.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.