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Finding the Third Proportional to 14,134.50 and 22,055.63

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Solution

The third proportional to 14,134.50 and 22,055.63 is: 34,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.50 : 22,055.63 = 22,055.63 : x
  2. Step 2: Convert to fraction form
    14,134.50/22,055.63 = 22,055.63/x
  3. Step 3: Cross multiply
    14,134.50x = 22,055.63 × 22,055.63
  4. Step 4: Simplify right side
    14,134.50x = 486,450,594.14
  5. Step 5: Solve for x
    x = 486,450,594.14/14,134.50
  6. Step 6: Final answer
    x = 34,415.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.