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Finding the Third Proportional to 2,784 and 6,473

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Solution

The third proportional to 2,784 and 6,473 is: 15,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 6,473 = 6,473 : x
  2. Step 2: Convert to fraction form
    2,784/6,473 = 6,473/x
  3. Step 3: Cross multiply
    2,784x = 6,473 × 6,473
  4. Step 4: Simplify right side
    2,784x = 41,899,729
  5. Step 5: Solve for x
    x = 41,899,729/2,784
  6. Step 6: Final answer
    x = 15,050.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.