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Finding the Third Proportional to 5,835.63 and 12,805.13

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Solution

The third proportional to 5,835.63 and 12,805.13 is: 28,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.63 : 12,805.13 = 12,805.13 : x
  2. Step 2: Convert to fraction form
    5,835.63/12,805.13 = 12,805.13/x
  3. Step 3: Cross multiply
    5,835.63x = 12,805.13 × 12,805.13
  4. Step 4: Simplify right side
    5,835.63x = 163,971,226.27
  5. Step 5: Solve for x
    x = 163,971,226.27/5,835.63
  6. Step 6: Final answer
    x = 28,098.31

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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.