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Finding the Third Proportional to 10,490 and 16,009

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Solution

The third proportional to 10,490 and 16,009 is: 24,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490 : 16,009 = 16,009 : x
  2. Step 2: Convert to fraction form
    10,490/16,009 = 16,009/x
  3. Step 3: Cross multiply
    10,490x = 16,009 × 16,009
  4. Step 4: Simplify right side
    10,490x = 256,288,081
  5. Step 5: Solve for x
    x = 256,288,081/10,490
  6. Step 6: Final answer
    x = 24,431.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.