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Finding the Third Proportional to 7,114 and 9,518

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Solution

The third proportional to 7,114 and 9,518 is: 12,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 9,518 = 9,518 : x
  2. Step 2: Convert to fraction form
    7,114/9,518 = 9,518/x
  3. Step 3: Cross multiply
    7,114x = 9,518 × 9,518
  4. Step 4: Simplify right side
    7,114x = 90,592,324
  5. Step 5: Solve for x
    x = 90,592,324/7,114
  6. Step 6: Final answer
    x = 12,734.37

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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.