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Finding the Third Proportional to 5,356 and 12,518

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Solution

The third proportional to 5,356 and 12,518 is: 29,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356 : 12,518 = 12,518 : x
  2. Step 2: Convert to fraction form
    5,356/12,518 = 12,518/x
  3. Step 3: Cross multiply
    5,356x = 12,518 × 12,518
  4. Step 4: Simplify right side
    5,356x = 156,700,324
  5. Step 5: Solve for x
    x = 156,700,324/5,356
  6. Step 6: Final answer
    x = 29,256.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.