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Finding the Third Proportional to 25,224.75 and 38,026.13

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Solution

The third proportional to 25,224.75 and 38,026.13 is: 57,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.75 : 38,026.13 = 38,026.13 : x
  2. Step 2: Convert to fraction form
    25,224.75/38,026.13 = 38,026.13/x
  3. Step 3: Cross multiply
    25,224.75x = 38,026.13 × 38,026.13
  4. Step 4: Simplify right side
    25,224.75x = 1,445,986,182.52
  5. Step 5: Solve for x
    x = 1,445,986,182.52/25,224.75
  6. Step 6: Final answer
    x = 57,324.10

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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.