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Finding the Third Proportional to 4,876.50 and 9,429

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Solution

The third proportional to 4,876.50 and 9,429 is: 18,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.50 : 9,429 = 9,429 : x
  2. Step 2: Convert to fraction form
    4,876.50/9,429 = 9,429/x
  3. Step 3: Cross multiply
    4,876.50x = 9,429 × 9,429
  4. Step 4: Simplify right side
    4,876.50x = 88,906,041
  5. Step 5: Solve for x
    x = 88,906,041/4,876.50
  6. Step 6: Final answer
    x = 18,231.53

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.