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Finding the Third Proportional to 5,824 and 7,008

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Solution

The third proportional to 5,824 and 7,008 is: 8,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 7,008 = 7,008 : x
  2. Step 2: Convert to fraction form
    5,824/7,008 = 7,008/x
  3. Step 3: Cross multiply
    5,824x = 7,008 × 7,008
  4. Step 4: Simplify right side
    5,824x = 49,112,064
  5. Step 5: Solve for x
    x = 49,112,064/5,824
  6. Step 6: Final answer
    x = 8,432.70

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.