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Finding the Third Proportional to 48,232.50 and 104,484

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Solution

The third proportional to 48,232.50 and 104,484 is: 226,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,232.50 : 104,484 = 104,484 : x
  2. Step 2: Convert to fraction form
    48,232.50/104,484 = 104,484/x
  3. Step 3: Cross multiply
    48,232.50x = 104,484 × 104,484
  4. Step 4: Simplify right side
    48,232.50x = 10,916,906,256
  5. Step 5: Solve for x
    x = 10,916,906,256/48,232.50
  6. Step 6: Final answer
    x = 226,339.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.