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Finding the Third Proportional to 25,102 and 38,889.50

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Solution

The third proportional to 25,102 and 38,889.50 is: 60,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102 : 38,889.50 = 38,889.50 : x
  2. Step 2: Convert to fraction form
    25,102/38,889.50 = 38,889.50/x
  3. Step 3: Cross multiply
    25,102x = 38,889.50 × 38,889.50
  4. Step 4: Simplify right side
    25,102x = 1,512,393,210.25
  5. Step 5: Solve for x
    x = 1,512,393,210.25/25,102
  6. Step 6: Final answer
    x = 60,249.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.