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Finding the Third Proportional to 10,054.13 and 15,297.19

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Solution

The third proportional to 10,054.13 and 15,297.19 is: 23,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 15,297.19 = 15,297.19 : x
  2. Step 2: Convert to fraction form
    10,054.13/15,297.19 = 15,297.19/x
  3. Step 3: Cross multiply
    10,054.13x = 15,297.19 × 15,297.19
  4. Step 4: Simplify right side
    10,054.13x = 234,003,945.41
  5. Step 5: Solve for x
    x = 234,003,945.41/10,054.13
  6. Step 6: Final answer
    x = 23,274.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.