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Finding the Third Proportional to 25,201.13 and 38,009.25

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Solution

The third proportional to 25,201.13 and 38,009.25 is: 57,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.13 : 38,009.25 = 38,009.25 : x
  2. Step 2: Convert to fraction form
    25,201.13/38,009.25 = 38,009.25/x
  3. Step 3: Cross multiply
    25,201.13x = 38,009.25 × 38,009.25
  4. Step 4: Simplify right side
    25,201.13x = 1,444,703,085.56
  5. Step 5: Solve for x
    x = 1,444,703,085.56/25,201.13
  6. Step 6: Final answer
    x = 57,326.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.