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Finding the Third Proportional to 20,507.06 and 29,324.81

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Solution

The third proportional to 20,507.06 and 29,324.81 is: 41,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.06 : 29,324.81 = 29,324.81 : x
  2. Step 2: Convert to fraction form
    20,507.06/29,324.81 = 29,324.81/x
  3. Step 3: Cross multiply
    20,507.06x = 29,324.81 × 29,324.81
  4. Step 4: Simplify right side
    20,507.06x = 859,944,628.16
  5. Step 5: Solve for x
    x = 859,944,628.16/20,507.06
  6. Step 6: Final answer
    x = 41,934.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.