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Finding the Third Proportional to 36,772 and 77,877

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Solution

The third proportional to 36,772 and 77,877 is: 164,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772 : 77,877 = 77,877 : x
  2. Step 2: Convert to fraction form
    36,772/77,877 = 77,877/x
  3. Step 3: Cross multiply
    36,772x = 77,877 × 77,877
  4. Step 4: Simplify right side
    36,772x = 6,064,827,129
  5. Step 5: Solve for x
    x = 6,064,827,129/36,772
  6. Step 6: Final answer
    x = 164,930.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.