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Finding the Third Proportional to 7,644.19 and 10,905.94

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Solution

The third proportional to 7,644.19 and 10,905.94 is: 15,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.19 : 10,905.94 = 10,905.94 : x
  2. Step 2: Convert to fraction form
    7,644.19/10,905.94 = 10,905.94/x
  3. Step 3: Cross multiply
    7,644.19x = 10,905.94 × 10,905.94
  4. Step 4: Simplify right side
    7,644.19x = 118,939,472.75
  5. Step 5: Solve for x
    x = 118,939,472.75/7,644.19
  6. Step 6: Final answer
    x = 15,559.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.