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Finding the Third Proportional to 36,030 and 77,392

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Solution

The third proportional to 36,030 and 77,392 is: 166,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030 : 77,392 = 77,392 : x
  2. Step 2: Convert to fraction form
    36,030/77,392 = 77,392/x
  3. Step 3: Cross multiply
    36,030x = 77,392 × 77,392
  4. Step 4: Simplify right side
    36,030x = 5,989,521,664
  5. Step 5: Solve for x
    x = 5,989,521,664/36,030
  6. Step 6: Final answer
    x = 166,237.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.