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Finding the Third Proportional to 24,918.75 and 55,322.25

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Solution

The third proportional to 24,918.75 and 55,322.25 is: 122,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918.75 : 55,322.25 = 55,322.25 : x
  2. Step 2: Convert to fraction form
    24,918.75/55,322.25 = 55,322.25/x
  3. Step 3: Cross multiply
    24,918.75x = 55,322.25 × 55,322.25
  4. Step 4: Simplify right side
    24,918.75x = 3,060,551,345.06
  5. Step 5: Solve for x
    x = 3,060,551,345.06/24,918.75
  6. Step 6: Final answer
    x = 122,821.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.