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Finding the Third Proportional to 22,627.13 and 48,256.88

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Solution

The third proportional to 22,627.13 and 48,256.88 is: 102,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.13 : 48,256.88 = 48,256.88 : x
  2. Step 2: Convert to fraction form
    22,627.13/48,256.88 = 48,256.88/x
  3. Step 3: Cross multiply
    22,627.13x = 48,256.88 × 48,256.88
  4. Step 4: Simplify right side
    22,627.13x = 2,328,725,984.77
  5. Step 5: Solve for x
    x = 2,328,725,984.77/22,627.13
  6. Step 6: Final answer
    x = 102,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.