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Finding the Third Proportional to 6,140 and 8,774

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Solution

The third proportional to 6,140 and 8,774 is: 12,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140 : 8,774 = 8,774 : x
  2. Step 2: Convert to fraction form
    6,140/8,774 = 8,774/x
  3. Step 3: Cross multiply
    6,140x = 8,774 × 8,774
  4. Step 4: Simplify right side
    6,140x = 76,983,076
  5. Step 5: Solve for x
    x = 76,983,076/6,140
  6. Step 6: Final answer
    x = 12,537.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.