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Finding the Third Proportional to 14,342.25 and 20,656.88

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Solution

The third proportional to 14,342.25 and 20,656.88 is: 29,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.25 : 20,656.88 = 20,656.88 : x
  2. Step 2: Convert to fraction form
    14,342.25/20,656.88 = 20,656.88/x
  3. Step 3: Cross multiply
    14,342.25x = 20,656.88 × 20,656.88
  4. Step 4: Simplify right side
    14,342.25x = 426,706,484.77
  5. Step 5: Solve for x
    x = 426,706,484.77/14,342.25
  6. Step 6: Final answer
    x = 29,751.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.