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Finding the Third Proportional to 15,911 and 23,595

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Solution

The third proportional to 15,911 and 23,595 is: 34,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911 : 23,595 = 23,595 : x
  2. Step 2: Convert to fraction form
    15,911/23,595 = 23,595/x
  3. Step 3: Cross multiply
    15,911x = 23,595 × 23,595
  4. Step 4: Simplify right side
    15,911x = 556,724,025
  5. Step 5: Solve for x
    x = 556,724,025/15,911
  6. Step 6: Final answer
    x = 34,989.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.