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Finding the Third Proportional to 7,072.13 and 10,697.63

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Solution

The third proportional to 7,072.13 and 10,697.63 is: 16,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.13 : 10,697.63 = 10,697.63 : x
  2. Step 2: Convert to fraction form
    7,072.13/10,697.63 = 10,697.63/x
  3. Step 3: Cross multiply
    7,072.13x = 10,697.63 × 10,697.63
  4. Step 4: Simplify right side
    7,072.13x = 114,439,180.64
  5. Step 5: Solve for x
    x = 114,439,180.64/7,072.13
  6. Step 6: Final answer
    x = 16,181.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.