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Finding the Third Proportional to 36,536 and 78,896

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Solution

The third proportional to 36,536 and 78,896 is: 170,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536 : 78,896 = 78,896 : x
  2. Step 2: Convert to fraction form
    36,536/78,896 = 78,896/x
  3. Step 3: Cross multiply
    36,536x = 78,896 × 78,896
  4. Step 4: Simplify right side
    36,536x = 6,224,578,816
  5. Step 5: Solve for x
    x = 6,224,578,816/36,536
  6. Step 6: Final answer
    x = 170,368.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.