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Finding the Third Proportional to 23,106.94 and 47,306.81

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Solution

The third proportional to 23,106.94 and 47,306.81 is: 96,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.94 : 47,306.81 = 47,306.81 : x
  2. Step 2: Convert to fraction form
    23,106.94/47,306.81 = 47,306.81/x
  3. Step 3: Cross multiply
    23,106.94x = 47,306.81 × 47,306.81
  4. Step 4: Simplify right side
    23,106.94x = 2,237,934,508.91
  5. Step 5: Solve for x
    x = 2,237,934,508.91/23,106.94
  6. Step 6: Final answer
    x = 96,851.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.