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Finding the Third Proportional to 5,382.07 and 12,652.14

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Solution

The third proportional to 5,382.07 and 12,652.14 is: 29,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.07 : 12,652.14 = 12,652.14 : x
  2. Step 2: Convert to fraction form
    5,382.07/12,652.14 = 12,652.14/x
  3. Step 3: Cross multiply
    5,382.07x = 12,652.14 × 12,652.14
  4. Step 4: Simplify right side
    5,382.07x = 160,076,563.55
  5. Step 5: Solve for x
    x = 160,076,563.55/5,382.07
  6. Step 6: Final answer
    x = 29,742.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.