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Finding the Third Proportional to 16,314.75 and 34,047

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Solution

The third proportional to 16,314.75 and 34,047 is: 71,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.75 : 34,047 = 34,047 : x
  2. Step 2: Convert to fraction form
    16,314.75/34,047 = 34,047/x
  3. Step 3: Cross multiply
    16,314.75x = 34,047 × 34,047
  4. Step 4: Simplify right side
    16,314.75x = 1,159,198,209
  5. Step 5: Solve for x
    x = 1,159,198,209/16,314.75
  6. Step 6: Final answer
    x = 71,052.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.