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Finding the Third Proportional to 20,783.25 and 31,392.56

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Solution

The third proportional to 20,783.25 and 31,392.56 is: 47,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 31,392.56 = 31,392.56 : x
  2. Step 2: Convert to fraction form
    20,783.25/31,392.56 = 31,392.56/x
  3. Step 3: Cross multiply
    20,783.25x = 31,392.56 × 31,392.56
  4. Step 4: Simplify right side
    20,783.25x = 985,492,980.32
  5. Step 5: Solve for x
    x = 985,492,980.32/20,783.25
  6. Step 6: Final answer
    x = 47,417.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.