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Finding the Third Proportional to 14,159.06 and 22,494.09

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Solution

The third proportional to 14,159.06 and 22,494.09 is: 35,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.06 : 22,494.09 = 22,494.09 : x
  2. Step 2: Convert to fraction form
    14,159.06/22,494.09 = 22,494.09/x
  3. Step 3: Cross multiply
    14,159.06x = 22,494.09 × 22,494.09
  4. Step 4: Simplify right side
    14,159.06x = 505,984,253.63
  5. Step 5: Solve for x
    x = 505,984,253.63/14,159.06
  6. Step 6: Final answer
    x = 35,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.