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Finding the Third Proportional to 16,908 and 37,702

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Solution

The third proportional to 16,908 and 37,702 is: 84,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,908 : 37,702 = 37,702 : x
  2. Step 2: Convert to fraction form
    16,908/37,702 = 37,702/x
  3. Step 3: Cross multiply
    16,908x = 37,702 × 37,702
  4. Step 4: Simplify right side
    16,908x = 1,421,440,804
  5. Step 5: Solve for x
    x = 1,421,440,804/16,908
  6. Step 6: Final answer
    x = 84,069.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.