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Finding the Third Proportional to 23,108.25 and 47,312.25

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Solution

The third proportional to 23,108.25 and 47,312.25 is: 96,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108.25 : 47,312.25 = 47,312.25 : x
  2. Step 2: Convert to fraction form
    23,108.25/47,312.25 = 47,312.25/x
  3. Step 3: Cross multiply
    23,108.25x = 47,312.25 × 47,312.25
  4. Step 4: Simplify right side
    23,108.25x = 2,238,449,000.06
  5. Step 5: Solve for x
    x = 2,238,449,000.06/23,108.25
  6. Step 6: Final answer
    x = 96,867.96

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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.