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Finding the Third Proportional to 9,051.75 and 14,463.56

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Solution

The third proportional to 9,051.75 and 14,463.56 is: 23,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 14,463.56 = 14,463.56 : x
  2. Step 2: Convert to fraction form
    9,051.75/14,463.56 = 14,463.56/x
  3. Step 3: Cross multiply
    9,051.75x = 14,463.56 × 14,463.56
  4. Step 4: Simplify right side
    9,051.75x = 209,194,640.19
  5. Step 5: Solve for x
    x = 209,194,640.19/9,051.75
  6. Step 6: Final answer
    x = 23,110.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.