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Finding the Third Proportional to 16,710 and 35,644

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Solution

The third proportional to 16,710 and 35,644 is: 76,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710 : 35,644 = 35,644 : x
  2. Step 2: Convert to fraction form
    16,710/35,644 = 35,644/x
  3. Step 3: Cross multiply
    16,710x = 35,644 × 35,644
  4. Step 4: Simplify right side
    16,710x = 1,270,494,736
  5. Step 5: Solve for x
    x = 1,270,494,736/16,710
  6. Step 6: Final answer
    x = 76,032.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.