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Finding the Third Proportional to 5,854 and 13,818.63

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Solution

The third proportional to 5,854 and 13,818.63 is: 32,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 13,818.63 = 13,818.63 : x
  2. Step 2: Convert to fraction form
    5,854/13,818.63 = 13,818.63/x
  3. Step 3: Cross multiply
    5,854x = 13,818.63 × 13,818.63
  4. Step 4: Simplify right side
    5,854x = 190,954,396.89
  5. Step 5: Solve for x
    x = 190,954,396.89/5,854
  6. Step 6: Final answer
    x = 32,619.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.