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Finding the Third Proportional to 6,783.12 and 10,892.29

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Solution

The third proportional to 6,783.12 and 10,892.29 is: 17,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.12 : 10,892.29 = 10,892.29 : x
  2. Step 2: Convert to fraction form
    6,783.12/10,892.29 = 10,892.29/x
  3. Step 3: Cross multiply
    6,783.12x = 10,892.29 × 10,892.29
  4. Step 4: Simplify right side
    6,783.12x = 118,641,875.93
  5. Step 5: Solve for x
    x = 118,641,875.93/6,783.12
  6. Step 6: Final answer
    x = 17,490.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.