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Finding the Third Proportional to 6,207 and 10,959

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Solution

The third proportional to 6,207 and 10,959 is: 19,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207 : 10,959 = 10,959 : x
  2. Step 2: Convert to fraction form
    6,207/10,959 = 10,959/x
  3. Step 3: Cross multiply
    6,207x = 10,959 × 10,959
  4. Step 4: Simplify right side
    6,207x = 120,099,681
  5. Step 5: Solve for x
    x = 120,099,681/6,207
  6. Step 6: Final answer
    x = 19,349.07

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.