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Finding the Third Proportional to 13,627.13 and 19,994.63

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Solution

The third proportional to 13,627.13 and 19,994.63 is: 29,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.13 : 19,994.63 = 19,994.63 : x
  2. Step 2: Convert to fraction form
    13,627.13/19,994.63 = 19,994.63/x
  3. Step 3: Cross multiply
    13,627.13x = 19,994.63 × 19,994.63
  4. Step 4: Simplify right side
    13,627.13x = 399,785,028.89
  5. Step 5: Solve for x
    x = 399,785,028.89/13,627.13
  6. Step 6: Final answer
    x = 29,337.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.