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Finding the Third Proportional to 48,554 and 73,276

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Solution

The third proportional to 48,554 and 73,276 is: 110,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,554 : 73,276 = 73,276 : x
  2. Step 2: Convert to fraction form
    48,554/73,276 = 73,276/x
  3. Step 3: Cross multiply
    48,554x = 73,276 × 73,276
  4. Step 4: Simplify right side
    48,554x = 5,369,372,176
  5. Step 5: Solve for x
    x = 5,369,372,176/48,554
  6. Step 6: Final answer
    x = 110,585.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.