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Finding the Third Proportional to 48,415.50 and 104,478

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Solution

The third proportional to 48,415.50 and 104,478 is: 225,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415.50 : 104,478 = 104,478 : x
  2. Step 2: Convert to fraction form
    48,415.50/104,478 = 104,478/x
  3. Step 3: Cross multiply
    48,415.50x = 104,478 × 104,478
  4. Step 4: Simplify right side
    48,415.50x = 10,915,652,484
  5. Step 5: Solve for x
    x = 10,915,652,484/48,415.50
  6. Step 6: Final answer
    x = 225,457.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.