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Finding the Third Proportional to 5,745 and 7,518

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Solution

The third proportional to 5,745 and 7,518 is: 9,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745 : 7,518 = 7,518 : x
  2. Step 2: Convert to fraction form
    5,745/7,518 = 7,518/x
  3. Step 3: Cross multiply
    5,745x = 7,518 × 7,518
  4. Step 4: Simplify right side
    5,745x = 56,520,324
  5. Step 5: Solve for x
    x = 56,520,324/5,745
  6. Step 6: Final answer
    x = 9,838.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.