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Finding the Third Proportional to 4,784 and 7,389

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Solution

The third proportional to 4,784 and 7,389 is: 11,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784 : 7,389 = 7,389 : x
  2. Step 2: Convert to fraction form
    4,784/7,389 = 7,389/x
  3. Step 3: Cross multiply
    4,784x = 7,389 × 7,389
  4. Step 4: Simplify right side
    4,784x = 54,597,321
  5. Step 5: Solve for x
    x = 54,597,321/4,784
  6. Step 6: Final answer
    x = 11,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.