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Finding the Third Proportional to 7,533 and 15,915.38

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Solution

The third proportional to 7,533 and 15,915.38 is: 33,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 15,915.38 = 15,915.38 : x
  2. Step 2: Convert to fraction form
    7,533/15,915.38 = 15,915.38/x
  3. Step 3: Cross multiply
    7,533x = 15,915.38 × 15,915.38
  4. Step 4: Simplify right side
    7,533x = 253,299,161.39
  5. Step 5: Solve for x
    x = 253,299,161.39/7,533
  6. Step 6: Final answer
    x = 33,625.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.