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Finding the Third Proportional to 16,610 and 36,484

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Solution

The third proportional to 16,610 and 36,484 is: 80,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610 : 36,484 = 36,484 : x
  2. Step 2: Convert to fraction form
    16,610/36,484 = 36,484/x
  3. Step 3: Cross multiply
    16,610x = 36,484 × 36,484
  4. Step 4: Simplify right side
    16,610x = 1,331,082,256
  5. Step 5: Solve for x
    x = 1,331,082,256/16,610
  6. Step 6: Final answer
    x = 80,137.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.