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Finding the Third Proportional to 7,516 and 14,834

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Solution

The third proportional to 7,516 and 14,834 is: 29,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516 : 14,834 = 14,834 : x
  2. Step 2: Convert to fraction form
    7,516/14,834 = 14,834/x
  3. Step 3: Cross multiply
    7,516x = 14,834 × 14,834
  4. Step 4: Simplify right side
    7,516x = 220,047,556
  5. Step 5: Solve for x
    x = 220,047,556/7,516
  6. Step 6: Final answer
    x = 29,277.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.