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Finding the Third Proportional to 20,415.38 and 31,215.38

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Solution

The third proportional to 20,415.38 and 31,215.38 is: 47,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.38 : 31,215.38 = 31,215.38 : x
  2. Step 2: Convert to fraction form
    20,415.38/31,215.38 = 31,215.38/x
  3. Step 3: Cross multiply
    20,415.38x = 31,215.38 × 31,215.38
  4. Step 4: Simplify right side
    20,415.38x = 974,399,636.39
  5. Step 5: Solve for x
    x = 974,399,636.39/20,415.38
  6. Step 6: Final answer
    x = 47,728.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.