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Finding the Third Proportional to 48,829.50 and 104,643

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Solution

The third proportional to 48,829.50 and 104,643 is: 224,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.50 : 104,643 = 104,643 : x
  2. Step 2: Convert to fraction form
    48,829.50/104,643 = 104,643/x
  3. Step 3: Cross multiply
    48,829.50x = 104,643 × 104,643
  4. Step 4: Simplify right side
    48,829.50x = 10,950,157,449
  5. Step 5: Solve for x
    x = 10,950,157,449/48,829.50
  6. Step 6: Final answer
    x = 224,252.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.