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Finding the Third Proportional to 9,576.19 and 14,864.29

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Solution

The third proportional to 9,576.19 and 14,864.29 is: 23,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.19 : 14,864.29 = 14,864.29 : x
  2. Step 2: Convert to fraction form
    9,576.19/14,864.29 = 14,864.29/x
  3. Step 3: Cross multiply
    9,576.19x = 14,864.29 × 14,864.29
  4. Step 4: Simplify right side
    9,576.19x = 220,947,147.40
  5. Step 5: Solve for x
    x = 220,947,147.40/9,576.19
  6. Step 6: Final answer
    x = 23,072.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.