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Finding the Third Proportional to 26,136.75 and 56,449.50

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Solution

The third proportional to 26,136.75 and 56,449.50 is: 121,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,136.75 : 56,449.50 = 56,449.50 : x
  2. Step 2: Convert to fraction form
    26,136.75/56,449.50 = 56,449.50/x
  3. Step 3: Cross multiply
    26,136.75x = 56,449.50 × 56,449.50
  4. Step 4: Simplify right side
    26,136.75x = 3,186,546,050.25
  5. Step 5: Solve for x
    x = 3,186,546,050.25/26,136.75
  6. Step 6: Final answer
    x = 121,918.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.