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Finding the Third Proportional to 23,106.75 and 47,306.16

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Solution

The third proportional to 23,106.75 and 47,306.16 is: 96,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.75 : 47,306.16 = 47,306.16 : x
  2. Step 2: Convert to fraction form
    23,106.75/47,306.16 = 47,306.16/x
  3. Step 3: Cross multiply
    23,106.75x = 47,306.16 × 47,306.16
  4. Step 4: Simplify right side
    23,106.75x = 2,237,872,419.15
  5. Step 5: Solve for x
    x = 2,237,872,419.15/23,106.75
  6. Step 6: Final answer
    x = 96,849.29

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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.