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Finding the Third Proportional to 29,393.81 and 64,309.13

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Solution

The third proportional to 29,393.81 and 64,309.13 is: 140,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,393.81 : 64,309.13 = 64,309.13 : x
  2. Step 2: Convert to fraction form
    29,393.81/64,309.13 = 64,309.13/x
  3. Step 3: Cross multiply
    29,393.81x = 64,309.13 × 64,309.13
  4. Step 4: Simplify right side
    29,393.81x = 4,135,663,558.27
  5. Step 5: Solve for x
    x = 4,135,663,558.27/29,393.81
  6. Step 6: Final answer
    x = 140,698.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.