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Finding the Third Proportional to 7,524 and 11,038

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Solution

The third proportional to 7,524 and 11,038 is: 16,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,038 = 11,038 : x
  2. Step 2: Convert to fraction form
    7,524/11,038 = 11,038/x
  3. Step 3: Cross multiply
    7,524x = 11,038 × 11,038
  4. Step 4: Simplify right side
    7,524x = 121,837,444
  5. Step 5: Solve for x
    x = 121,837,444/7,524
  6. Step 6: Final answer
    x = 16,193.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.