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Finding the Third Proportional to 2,784 and 7,560

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Solution

The third proportional to 2,784 and 7,560 is: 20,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 7,560 = 7,560 : x
  2. Step 2: Convert to fraction form
    2,784/7,560 = 7,560/x
  3. Step 3: Cross multiply
    2,784x = 7,560 × 7,560
  4. Step 4: Simplify right side
    2,784x = 57,153,600
  5. Step 5: Solve for x
    x = 57,153,600/2,784
  6. Step 6: Final answer
    x = 20,529.31

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.