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Finding the Third Proportional to 7,247 and 10,595

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Solution

The third proportional to 7,247 and 10,595 is: 15,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247 : 10,595 = 10,595 : x
  2. Step 2: Convert to fraction form
    7,247/10,595 = 10,595/x
  3. Step 3: Cross multiply
    7,247x = 10,595 × 10,595
  4. Step 4: Simplify right side
    7,247x = 112,254,025
  5. Step 5: Solve for x
    x = 112,254,025/7,247
  6. Step 6: Final answer
    x = 15,489.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.