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Finding the Third Proportional to 14,588.56 and 22,861.19

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Solution

The third proportional to 14,588.56 and 22,861.19 is: 35,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.56 : 22,861.19 = 22,861.19 : x
  2. Step 2: Convert to fraction form
    14,588.56/22,861.19 = 22,861.19/x
  3. Step 3: Cross multiply
    14,588.56x = 22,861.19 × 22,861.19
  4. Step 4: Simplify right side
    14,588.56x = 522,633,893.91
  5. Step 5: Solve for x
    x = 522,633,893.91/14,588.56
  6. Step 6: Final answer
    x = 35,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.