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Finding the Third Proportional to 29,546.25 and 63,243.75

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Solution

The third proportional to 29,546.25 and 63,243.75 is: 135,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.25 : 63,243.75 = 63,243.75 : x
  2. Step 2: Convert to fraction form
    29,546.25/63,243.75 = 63,243.75/x
  3. Step 3: Cross multiply
    29,546.25x = 63,243.75 × 63,243.75
  4. Step 4: Simplify right side
    29,546.25x = 3,999,771,914.06
  5. Step 5: Solve for x
    x = 3,999,771,914.06/29,546.25
  6. Step 6: Final answer
    x = 135,373.25

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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.