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Finding the Third Proportional to 25,201.13 and 38,085.19

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Solution

The third proportional to 25,201.13 and 38,085.19 is: 57,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.13 : 38,085.19 = 38,085.19 : x
  2. Step 2: Convert to fraction form
    25,201.13/38,085.19 = 38,085.19/x
  3. Step 3: Cross multiply
    25,201.13x = 38,085.19 × 38,085.19
  4. Step 4: Simplify right side
    25,201.13x = 1,450,481,506.91
  5. Step 5: Solve for x
    x = 1,450,481,506.91/25,201.13
  6. Step 6: Final answer
    x = 57,556.22

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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.