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Finding the Third Proportional to 5,784 and 7,788

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Solution

The third proportional to 5,784 and 7,788 is: 10,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,788 = 7,788 : x
  2. Step 2: Convert to fraction form
    5,784/7,788 = 7,788/x
  3. Step 3: Cross multiply
    5,784x = 7,788 × 7,788
  4. Step 4: Simplify right side
    5,784x = 60,652,944
  5. Step 5: Solve for x
    x = 60,652,944/5,784
  6. Step 6: Final answer
    x = 10,486.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.