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Finding the Third Proportional to 14,235.43 and 21,237.82

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Solution

The third proportional to 14,235.43 and 21,237.82 is: 31,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.43 : 21,237.82 = 21,237.82 : x
  2. Step 2: Convert to fraction form
    14,235.43/21,237.82 = 21,237.82/x
  3. Step 3: Cross multiply
    14,235.43x = 21,237.82 × 21,237.82
  4. Step 4: Simplify right side
    14,235.43x = 451,045,011.63
  5. Step 5: Solve for x
    x = 451,045,011.63/14,235.43
  6. Step 6: Final answer
    x = 31,684.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.