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Finding the Third Proportional to 13,110.47 and 20,770.17

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Solution

The third proportional to 13,110.47 and 20,770.17 is: 32,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.47 : 20,770.17 = 20,770.17 : x
  2. Step 2: Convert to fraction form
    13,110.47/20,770.17 = 20,770.17/x
  3. Step 3: Cross multiply
    13,110.47x = 20,770.17 × 20,770.17
  4. Step 4: Simplify right side
    13,110.47x = 431,400,039.72
  5. Step 5: Solve for x
    x = 431,400,039.72/13,110.47
  6. Step 6: Final answer
    x = 32,905.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.