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Finding the Third Proportional to 25,951.50 and 47,673

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Solution

The third proportional to 25,951.50 and 47,673 is: 87,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,951.50 : 47,673 = 47,673 : x
  2. Step 2: Convert to fraction form
    25,951.50/47,673 = 47,673/x
  3. Step 3: Cross multiply
    25,951.50x = 47,673 × 47,673
  4. Step 4: Simplify right side
    25,951.50x = 2,272,714,929
  5. Step 5: Solve for x
    x = 2,272,714,929/25,951.50
  6. Step 6: Final answer
    x = 87,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.