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Finding the Third Proportional to 2,449 and 3,490

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Solution

The third proportional to 2,449 and 3,490 is: 4,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 3,490 = 3,490 : x
  2. Step 2: Convert to fraction form
    2,449/3,490 = 3,490/x
  3. Step 3: Cross multiply
    2,449x = 3,490 × 3,490
  4. Step 4: Simplify right side
    2,449x = 12,180,100
  5. Step 5: Solve for x
    x = 12,180,100/2,449
  6. Step 6: Final answer
    x = 4,973.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.