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Finding the Third Proportional to 9,439 and 12,773

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Solution

The third proportional to 9,439 and 12,773 is: 17,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 12,773 = 12,773 : x
  2. Step 2: Convert to fraction form
    9,439/12,773 = 12,773/x
  3. Step 3: Cross multiply
    9,439x = 12,773 × 12,773
  4. Step 4: Simplify right side
    9,439x = 163,149,529
  5. Step 5: Solve for x
    x = 163,149,529/9,439
  6. Step 6: Final answer
    x = 17,284.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.