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Finding the Third Proportional to 23,239.13 and 47,703.38

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Solution

The third proportional to 23,239.13 and 47,703.38 is: 97,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,239.13 : 47,703.38 = 47,703.38 : x
  2. Step 2: Convert to fraction form
    23,239.13/47,703.38 = 47,703.38/x
  3. Step 3: Cross multiply
    23,239.13x = 47,703.38 × 47,703.38
  4. Step 4: Simplify right side
    23,239.13x = 2,275,611,986.39
  5. Step 5: Solve for x
    x = 2,275,611,986.39/23,239.13
  6. Step 6: Final answer
    x = 97,921.59

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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.