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Finding the Third Proportional to 30,360 and 73,788

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Solution

The third proportional to 30,360 and 73,788 is: 179,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 73,788 = 73,788 : x
  2. Step 2: Convert to fraction form
    30,360/73,788 = 73,788/x
  3. Step 3: Cross multiply
    30,360x = 73,788 × 73,788
  4. Step 4: Simplify right side
    30,360x = 5,444,668,944
  5. Step 5: Solve for x
    x = 5,444,668,944/30,360
  6. Step 6: Final answer
    x = 179,336.92

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.