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Finding the Third Proportional to 22,953.38 and 32,491.13

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Solution

The third proportional to 22,953.38 and 32,491.13 is: 45,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.38 : 32,491.13 = 32,491.13 : x
  2. Step 2: Convert to fraction form
    22,953.38/32,491.13 = 32,491.13/x
  3. Step 3: Cross multiply
    22,953.38x = 32,491.13 × 32,491.13
  4. Step 4: Simplify right side
    22,953.38x = 1,055,673,203.77
  5. Step 5: Solve for x
    x = 1,055,673,203.77/22,953.38
  6. Step 6: Final answer
    x = 45,992.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.