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Finding the Third Proportional to 7,834.97 and 16,317.94

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Solution

The third proportional to 7,834.97 and 16,317.94 is: 33,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.97 : 16,317.94 = 16,317.94 : x
  2. Step 2: Convert to fraction form
    7,834.97/16,317.94 = 16,317.94/x
  3. Step 3: Cross multiply
    7,834.97x = 16,317.94 × 16,317.94
  4. Step 4: Simplify right side
    7,834.97x = 266,275,084.25
  5. Step 5: Solve for x
    x = 266,275,084.25/7,834.97
  6. Step 6: Final answer
    x = 33,985.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.