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Finding the Third Proportional to 48,448 and 73,008

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Solution

The third proportional to 48,448 and 73,008 is: 110,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448 : 73,008 = 73,008 : x
  2. Step 2: Convert to fraction form
    48,448/73,008 = 73,008/x
  3. Step 3: Cross multiply
    48,448x = 73,008 × 73,008
  4. Step 4: Simplify right side
    48,448x = 5,330,168,064
  5. Step 5: Solve for x
    x = 5,330,168,064/48,448
  6. Step 6: Final answer
    x = 110,018.33

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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.