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Finding the Third Proportional to 16,313 and 35,998

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Solution

The third proportional to 16,313 and 35,998 is: 79,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313 : 35,998 = 35,998 : x
  2. Step 2: Convert to fraction form
    16,313/35,998 = 35,998/x
  3. Step 3: Cross multiply
    16,313x = 35,998 × 35,998
  4. Step 4: Simplify right side
    16,313x = 1,295,856,004
  5. Step 5: Solve for x
    x = 1,295,856,004/16,313
  6. Step 6: Final answer
    x = 79,437.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.