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Finding the Third Proportional to 2,447 and 4,773

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Solution

The third proportional to 2,447 and 4,773 is: 9,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447 : 4,773 = 4,773 : x
  2. Step 2: Convert to fraction form
    2,447/4,773 = 4,773/x
  3. Step 3: Cross multiply
    2,447x = 4,773 × 4,773
  4. Step 4: Simplify right side
    2,447x = 22,781,529
  5. Step 5: Solve for x
    x = 22,781,529/2,447
  6. Step 6: Final answer
    x = 9,309.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.