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Finding the Third Proportional to 16,402 and 33,060

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Solution

The third proportional to 16,402 and 33,060 is: 66,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 33,060 = 33,060 : x
  2. Step 2: Convert to fraction form
    16,402/33,060 = 33,060/x
  3. Step 3: Cross multiply
    16,402x = 33,060 × 33,060
  4. Step 4: Simplify right side
    16,402x = 1,092,963,600
  5. Step 5: Solve for x
    x = 1,092,963,600/16,402
  6. Step 6: Final answer
    x = 66,636.00

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.