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Finding the Third Proportional to 20,605.64 and 31,984.88

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Solution

The third proportional to 20,605.64 and 31,984.88 is: 49,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.64 : 31,984.88 = 31,984.88 : x
  2. Step 2: Convert to fraction form
    20,605.64/31,984.88 = 31,984.88/x
  3. Step 3: Cross multiply
    20,605.64x = 31,984.88 × 31,984.88
  4. Step 4: Simplify right side
    20,605.64x = 1,023,032,228.77
  5. Step 5: Solve for x
    x = 1,023,032,228.77/20,605.64
  6. Step 6: Final answer
    x = 49,648.16

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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.