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Finding the Third Proportional to 35,764 and 77,501

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Solution

The third proportional to 35,764 and 77,501 is: 167,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764 : 77,501 = 77,501 : x
  2. Step 2: Convert to fraction form
    35,764/77,501 = 77,501/x
  3. Step 3: Cross multiply
    35,764x = 77,501 × 77,501
  4. Step 4: Simplify right side
    35,764x = 6,006,405,001
  5. Step 5: Solve for x
    x = 6,006,405,001/35,764
  6. Step 6: Final answer
    x = 167,945.56

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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.