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Finding the Third Proportional to 10,272.50 and 22,077.50

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Solution

The third proportional to 10,272.50 and 22,077.50 is: 47,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.50 : 22,077.50 = 22,077.50 : x
  2. Step 2: Convert to fraction form
    10,272.50/22,077.50 = 22,077.50/x
  3. Step 3: Cross multiply
    10,272.50x = 22,077.50 × 22,077.50
  4. Step 4: Simplify right side
    10,272.50x = 487,416,006.25
  5. Step 5: Solve for x
    x = 487,416,006.25/10,272.50
  6. Step 6: Final answer
    x = 47,448.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.