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Finding the Third Proportional to 6,958 and 10,775.63

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Solution

The third proportional to 6,958 and 10,775.63 is: 16,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958 : 10,775.63 = 10,775.63 : x
  2. Step 2: Convert to fraction form
    6,958/10,775.63 = 10,775.63/x
  3. Step 3: Cross multiply
    6,958x = 10,775.63 × 10,775.63
  4. Step 4: Simplify right side
    6,958x = 116,114,094.14
  5. Step 5: Solve for x
    x = 116,114,094.14/6,958
  6. Step 6: Final answer
    x = 16,687.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.