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Finding the Third Proportional to 1,648 and 4,468

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Solution

The third proportional to 1,648 and 4,468 is: 12,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 4,468 = 4,468 : x
  2. Step 2: Convert to fraction form
    1,648/4,468 = 4,468/x
  3. Step 3: Cross multiply
    1,648x = 4,468 × 4,468
  4. Step 4: Simplify right side
    1,648x = 19,963,024
  5. Step 5: Solve for x
    x = 19,963,024/1,648
  6. Step 6: Final answer
    x = 12,113.49

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.