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Finding the Third Proportional to 15,970.50 and 22,869

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Solution

The third proportional to 15,970.50 and 22,869 is: 32,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.50 : 22,869 = 22,869 : x
  2. Step 2: Convert to fraction form
    15,970.50/22,869 = 22,869/x
  3. Step 3: Cross multiply
    15,970.50x = 22,869 × 22,869
  4. Step 4: Simplify right side
    15,970.50x = 522,991,161
  5. Step 5: Solve for x
    x = 522,991,161/15,970.50
  6. Step 6: Final answer
    x = 32,747.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.