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Finding the Third Proportional to 15,536 and 33,772

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Solution

The third proportional to 15,536 and 33,772 is: 73,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536 : 33,772 = 33,772 : x
  2. Step 2: Convert to fraction form
    15,536/33,772 = 33,772/x
  3. Step 3: Cross multiply
    15,536x = 33,772 × 33,772
  4. Step 4: Simplify right side
    15,536x = 1,140,547,984
  5. Step 5: Solve for x
    x = 1,140,547,984/15,536
  6. Step 6: Final answer
    x = 73,413.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.