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Finding the Third Proportional to 13,991.63 and 22,154.63

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Solution

The third proportional to 13,991.63 and 22,154.63 is: 35,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.63 : 22,154.63 = 22,154.63 : x
  2. Step 2: Convert to fraction form
    13,991.63/22,154.63 = 22,154.63/x
  3. Step 3: Cross multiply
    13,991.63x = 22,154.63 × 22,154.63
  4. Step 4: Simplify right side
    13,991.63x = 490,827,408.89
  5. Step 5: Solve for x
    x = 490,827,408.89/13,991.63
  6. Step 6: Final answer
    x = 35,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.