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Finding the Third Proportional to 8,056.02 and 10,823.94

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Solution

The third proportional to 8,056.02 and 10,823.94 is: 14,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.02 : 10,823.94 = 10,823.94 : x
  2. Step 2: Convert to fraction form
    8,056.02/10,823.94 = 10,823.94/x
  3. Step 3: Cross multiply
    8,056.02x = 10,823.94 × 10,823.94
  4. Step 4: Simplify right side
    8,056.02x = 117,157,707.57
  5. Step 5: Solve for x
    x = 117,157,707.57/8,056.02
  6. Step 6: Final answer
    x = 14,542.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.