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Finding the Third Proportional to 14,235.72 and 31,152.97

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Solution

The third proportional to 14,235.72 and 31,152.97 is: 68,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.72 : 31,152.97 = 31,152.97 : x
  2. Step 2: Convert to fraction form
    14,235.72/31,152.97 = 31,152.97/x
  3. Step 3: Cross multiply
    14,235.72x = 31,152.97 × 31,152.97
  4. Step 4: Simplify right side
    14,235.72x = 970,507,461.94
  5. Step 5: Solve for x
    x = 970,507,461.94/14,235.72
  6. Step 6: Final answer
    x = 68,174.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.