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Finding the Third Proportional to 48,473 and 104,584

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Solution

The third proportional to 48,473 and 104,584 is: 225,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473 : 104,584 = 104,584 : x
  2. Step 2: Convert to fraction form
    48,473/104,584 = 104,584/x
  3. Step 3: Cross multiply
    48,473x = 104,584 × 104,584
  4. Step 4: Simplify right side
    48,473x = 10,937,813,056
  5. Step 5: Solve for x
    x = 10,937,813,056/48,473
  6. Step 6: Final answer
    x = 225,647.54

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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.