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Finding the Third Proportional to 13,243.50 and 31,268.25

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Solution

The third proportional to 13,243.50 and 31,268.25 is: 73,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.50 : 31,268.25 = 31,268.25 : x
  2. Step 2: Convert to fraction form
    13,243.50/31,268.25 = 31,268.25/x
  3. Step 3: Cross multiply
    13,243.50x = 31,268.25 × 31,268.25
  4. Step 4: Simplify right side
    13,243.50x = 977,703,458.06
  5. Step 5: Solve for x
    x = 977,703,458.06/13,243.50
  6. Step 6: Final answer
    x = 73,825.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.