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Finding the Third Proportional to 1,616 and 2,428

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Solution

The third proportional to 1,616 and 2,428 is: 3,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616 : 2,428 = 2,428 : x
  2. Step 2: Convert to fraction form
    1,616/2,428 = 2,428/x
  3. Step 3: Cross multiply
    1,616x = 2,428 × 2,428
  4. Step 4: Simplify right side
    1,616x = 5,895,184
  5. Step 5: Solve for x
    x = 5,895,184/1,616
  6. Step 6: Final answer
    x = 3,648.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.