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Finding the Third Proportional to 2,470 and 3,521

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Solution

The third proportional to 2,470 and 3,521 is: 5,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,521 = 3,521 : x
  2. Step 2: Convert to fraction form
    2,470/3,521 = 3,521/x
  3. Step 3: Cross multiply
    2,470x = 3,521 × 3,521
  4. Step 4: Simplify right side
    2,470x = 12,397,441
  5. Step 5: Solve for x
    x = 12,397,441/2,470
  6. Step 6: Final answer
    x = 5,019.21

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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.