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Finding the Third Proportional to 10,516 and 14,750

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Solution

The third proportional to 10,516 and 14,750 is: 20,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 14,750 = 14,750 : x
  2. Step 2: Convert to fraction form
    10,516/14,750 = 14,750/x
  3. Step 3: Cross multiply
    10,516x = 14,750 × 14,750
  4. Step 4: Simplify right side
    10,516x = 217,562,500
  5. Step 5: Solve for x
    x = 217,562,500/10,516
  6. Step 6: Final answer
    x = 20,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.