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Finding the Third Proportional to 20,435.63 and 31,654.13

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Solution

The third proportional to 20,435.63 and 31,654.13 is: 49,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.63 : 31,654.13 = 31,654.13 : x
  2. Step 2: Convert to fraction form
    20,435.63/31,654.13 = 31,654.13/x
  3. Step 3: Cross multiply
    20,435.63x = 31,654.13 × 31,654.13
  4. Step 4: Simplify right side
    20,435.63x = 1,001,983,629.52
  5. Step 5: Solve for x
    x = 1,001,983,629.52/20,435.63
  6. Step 6: Final answer
    x = 49,031.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.