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Finding the Third Proportional to 6,652.13 and 10,411.03

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Solution

The third proportional to 6,652.13 and 10,411.03 is: 16,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.13 : 10,411.03 = 10,411.03 : x
  2. Step 2: Convert to fraction form
    6,652.13/10,411.03 = 10,411.03/x
  3. Step 3: Cross multiply
    6,652.13x = 10,411.03 × 10,411.03
  4. Step 4: Simplify right side
    6,652.13x = 108,389,571.69
  5. Step 5: Solve for x
    x = 108,389,571.69/6,652.13
  6. Step 6: Final answer
    x = 16,293.98

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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.