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Finding the Third Proportional to 5,694.09 and 8,931.56

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Solution

The third proportional to 5,694.09 and 8,931.56 is: 14,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.09 : 8,931.56 = 8,931.56 : x
  2. Step 2: Convert to fraction form
    5,694.09/8,931.56 = 8,931.56/x
  3. Step 3: Cross multiply
    5,694.09x = 8,931.56 × 8,931.56
  4. Step 4: Simplify right side
    5,694.09x = 79,772,808.69
  5. Step 5: Solve for x
    x = 79,772,808.69/5,694.09
  6. Step 6: Final answer
    x = 14,009.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.