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Finding the Third Proportional to 44,856.50 and 60,947

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Solution

The third proportional to 44,856.50 and 60,947 is: 82,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,856.50 : 60,947 = 60,947 : x
  2. Step 2: Convert to fraction form
    44,856.50/60,947 = 60,947/x
  3. Step 3: Cross multiply
    44,856.50x = 60,947 × 60,947
  4. Step 4: Simplify right side
    44,856.50x = 3,714,536,809
  5. Step 5: Solve for x
    x = 3,714,536,809/44,856.50
  6. Step 6: Final answer
    x = 82,809.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.