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Finding the Third Proportional to 36,845.16 and 78,947.44

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Solution

The third proportional to 36,845.16 and 78,947.44 is: 169,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,845.16 : 78,947.44 = 78,947.44 : x
  2. Step 2: Convert to fraction form
    36,845.16/78,947.44 = 78,947.44/x
  3. Step 3: Cross multiply
    36,845.16x = 78,947.44 × 78,947.44
  4. Step 4: Simplify right side
    36,845.16x = 6,232,697,887.82
  5. Step 5: Solve for x
    x = 6,232,697,887.82/36,845.16
  6. Step 6: Final answer
    x = 169,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.