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Finding the Third Proportional to 1,784 and 2,940

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Solution

The third proportional to 1,784 and 2,940 is: 4,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,940 = 2,940 : x
  2. Step 2: Convert to fraction form
    1,784/2,940 = 2,940/x
  3. Step 3: Cross multiply
    1,784x = 2,940 × 2,940
  4. Step 4: Simplify right side
    1,784x = 8,643,600
  5. Step 5: Solve for x
    x = 8,643,600/1,784
  6. Step 6: Final answer
    x = 4,845.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.