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Finding the Third Proportional to 20,398.50 and 31,203.56

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Solution

The third proportional to 20,398.50 and 31,203.56 is: 47,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.50 : 31,203.56 = 31,203.56 : x
  2. Step 2: Convert to fraction form
    20,398.50/31,203.56 = 31,203.56/x
  3. Step 3: Cross multiply
    20,398.50x = 31,203.56 × 31,203.56
  4. Step 4: Simplify right side
    20,398.50x = 973,662,312.69
  5. Step 5: Solve for x
    x = 973,662,312.69/20,398.50
  6. Step 6: Final answer
    x = 47,732.05

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