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Finding the Third Proportional to 14,580.56 and 34,142.91

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Solution

The third proportional to 14,580.56 and 34,142.91 is: 79,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.56 : 34,142.91 = 34,142.91 : x
  2. Step 2: Convert to fraction form
    14,580.56/34,142.91 = 34,142.91/x
  3. Step 3: Cross multiply
    14,580.56x = 34,142.91 × 34,142.91
  4. Step 4: Simplify right side
    14,580.56x = 1,165,738,047.20
  5. Step 5: Solve for x
    x = 1,165,738,047.20/14,580.56
  6. Step 6: Final answer
    x = 79,951.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.