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Finding the Third Proportional to 6,490 and 12,548

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Solution

The third proportional to 6,490 and 12,548 is: 24,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 12,548 = 12,548 : x
  2. Step 2: Convert to fraction form
    6,490/12,548 = 12,548/x
  3. Step 3: Cross multiply
    6,490x = 12,548 × 12,548
  4. Step 4: Simplify right side
    6,490x = 157,452,304
  5. Step 5: Solve for x
    x = 157,452,304/6,490
  6. Step 6: Final answer
    x = 24,260.76

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.