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Finding the Third Proportional to 7,284 and 9,774

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Solution

The third proportional to 7,284 and 9,774 is: 13,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 9,774 = 9,774 : x
  2. Step 2: Convert to fraction form
    7,284/9,774 = 9,774/x
  3. Step 3: Cross multiply
    7,284x = 9,774 × 9,774
  4. Step 4: Simplify right side
    7,284x = 95,531,076
  5. Step 5: Solve for x
    x = 95,531,076/7,284
  6. Step 6: Final answer
    x = 13,115.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.