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Finding the Third Proportional to 35,345.06 and 73,150.31

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Solution

The third proportional to 35,345.06 and 73,150.31 is: 151,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,345.06 : 73,150.31 = 73,150.31 : x
  2. Step 2: Convert to fraction form
    35,345.06/73,150.31 = 73,150.31/x
  3. Step 3: Cross multiply
    35,345.06x = 73,150.31 × 73,150.31
  4. Step 4: Simplify right side
    35,345.06x = 5,350,968,218.85
  5. Step 5: Solve for x
    x = 5,350,968,218.85/35,345.06
  6. Step 6: Final answer
    x = 151,392.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.