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Finding the Third Proportional to 22,378.50 and 31,370

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Solution

The third proportional to 22,378.50 and 31,370 is: 43,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.50 : 31,370 = 31,370 : x
  2. Step 2: Convert to fraction form
    22,378.50/31,370 = 31,370/x
  3. Step 3: Cross multiply
    22,378.50x = 31,370 × 31,370
  4. Step 4: Simplify right side
    22,378.50x = 984,076,900
  5. Step 5: Solve for x
    x = 984,076,900/22,378.50
  6. Step 6: Final answer
    x = 43,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.