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Finding the Third Proportional to 48,083.50 and 104,633

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Solution

The third proportional to 48,083.50 and 104,633 is: 227,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,083.50 : 104,633 = 104,633 : x
  2. Step 2: Convert to fraction form
    48,083.50/104,633 = 104,633/x
  3. Step 3: Cross multiply
    48,083.50x = 104,633 × 104,633
  4. Step 4: Simplify right side
    48,083.50x = 10,948,064,689
  5. Step 5: Solve for x
    x = 10,948,064,689/48,083.50
  6. Step 6: Final answer
    x = 227,688.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.