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Finding the Third Proportional to 5,841.41 and 12,813.72

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Solution

The third proportional to 5,841.41 and 12,813.72 is: 28,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.41 : 12,813.72 = 12,813.72 : x
  2. Step 2: Convert to fraction form
    5,841.41/12,813.72 = 12,813.72/x
  3. Step 3: Cross multiply
    5,841.41x = 12,813.72 × 12,813.72
  4. Step 4: Simplify right side
    5,841.41x = 164,191,388.20
  5. Step 5: Solve for x
    x = 164,191,388.20/5,841.41
  6. Step 6: Final answer
    x = 28,108.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.