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Finding the Third Proportional to 7,576 and 12,038

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Solution

The third proportional to 7,576 and 12,038 is: 19,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 12,038 = 12,038 : x
  2. Step 2: Convert to fraction form
    7,576/12,038 = 12,038/x
  3. Step 3: Cross multiply
    7,576x = 12,038 × 12,038
  4. Step 4: Simplify right side
    7,576x = 144,913,444
  5. Step 5: Solve for x
    x = 144,913,444/7,576
  6. Step 6: Final answer
    x = 19,127.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.