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Finding the Third Proportional to 7,813.13 and 16,370.44

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Solution

The third proportional to 7,813.13 and 16,370.44 is: 34,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.13 : 16,370.44 = 16,370.44 : x
  2. Step 2: Convert to fraction form
    7,813.13/16,370.44 = 16,370.44/x
  3. Step 3: Cross multiply
    7,813.13x = 16,370.44 × 16,370.44
  4. Step 4: Simplify right side
    7,813.13x = 267,991,223.94
  5. Step 5: Solve for x
    x = 267,991,223.94/7,813.13
  6. Step 6: Final answer
    x = 34,300.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.