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Finding the Third Proportional to 16,254 and 23,247

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Solution

The third proportional to 16,254 and 23,247 is: 33,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 23,247 = 23,247 : x
  2. Step 2: Convert to fraction form
    16,254/23,247 = 23,247/x
  3. Step 3: Cross multiply
    16,254x = 23,247 × 23,247
  4. Step 4: Simplify right side
    16,254x = 540,423,009
  5. Step 5: Solve for x
    x = 540,423,009/16,254
  6. Step 6: Final answer
    x = 33,248.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.