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Finding the Third Proportional to 10,052.86 and 13,219.45

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Solution

The third proportional to 10,052.86 and 13,219.45 is: 17,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.86 : 13,219.45 = 13,219.45 : x
  2. Step 2: Convert to fraction form
    10,052.86/13,219.45 = 13,219.45/x
  3. Step 3: Cross multiply
    10,052.86x = 13,219.45 × 13,219.45
  4. Step 4: Simplify right side
    10,052.86x = 174,753,940.92
  5. Step 5: Solve for x
    x = 174,753,940.92/10,052.86
  6. Step 6: Final answer
    x = 17,383.51

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.