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Finding the Third Proportional to 6,448 and 9,483

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Solution

The third proportional to 6,448 and 9,483 is: 13,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 9,483 = 9,483 : x
  2. Step 2: Convert to fraction form
    6,448/9,483 = 9,483/x
  3. Step 3: Cross multiply
    6,448x = 9,483 × 9,483
  4. Step 4: Simplify right side
    6,448x = 89,927,289
  5. Step 5: Solve for x
    x = 89,927,289/6,448
  6. Step 6: Final answer
    x = 13,946.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.