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Finding the Third Proportional to 25,992 and 39,223.13

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Solution

The third proportional to 25,992 and 39,223.13 is: 59,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992 : 39,223.13 = 39,223.13 : x
  2. Step 2: Convert to fraction form
    25,992/39,223.13 = 39,223.13/x
  3. Step 3: Cross multiply
    25,992x = 39,223.13 × 39,223.13
  4. Step 4: Simplify right side
    25,992x = 1,538,453,534.77
  5. Step 5: Solve for x
    x = 1,538,453,534.77/25,992
  6. Step 6: Final answer
    x = 59,189.50

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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.