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Finding the Third Proportional to 34,516 and 51,288

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Solution

The third proportional to 34,516 and 51,288 is: 76,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516 : 51,288 = 51,288 : x
  2. Step 2: Convert to fraction form
    34,516/51,288 = 51,288/x
  3. Step 3: Cross multiply
    34,516x = 51,288 × 51,288
  4. Step 4: Simplify right side
    34,516x = 2,630,458,944
  5. Step 5: Solve for x
    x = 2,630,458,944/34,516
  6. Step 6: Final answer
    x = 76,209.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.