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Finding the Third Proportional to 23,125.50 and 47,415.38

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Solution

The third proportional to 23,125.50 and 47,415.38 is: 97,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.50 : 47,415.38 = 47,415.38 : x
  2. Step 2: Convert to fraction form
    23,125.50/47,415.38 = 47,415.38/x
  3. Step 3: Cross multiply
    23,125.50x = 47,415.38 × 47,415.38
  4. Step 4: Simplify right side
    23,125.50x = 2,248,217,786.39
  5. Step 5: Solve for x
    x = 2,248,217,786.39/23,125.50
  6. Step 6: Final answer
    x = 97,218.13

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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.