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Finding the Third Proportional to 5,324 and 6,140

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Solution

The third proportional to 5,324 and 6,140 is: 7,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324 : 6,140 = 6,140 : x
  2. Step 2: Convert to fraction form
    5,324/6,140 = 6,140/x
  3. Step 3: Cross multiply
    5,324x = 6,140 × 6,140
  4. Step 4: Simplify right side
    5,324x = 37,699,600
  5. Step 5: Solve for x
    x = 37,699,600/5,324
  6. Step 6: Final answer
    x = 7,081.07

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.