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Finding the Third Proportional to 34,786.02 and 75,821.06

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Solution

The third proportional to 34,786.02 and 75,821.06 is: 165,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.02 : 75,821.06 = 75,821.06 : x
  2. Step 2: Convert to fraction form
    34,786.02/75,821.06 = 75,821.06/x
  3. Step 3: Cross multiply
    34,786.02x = 75,821.06 × 75,821.06
  4. Step 4: Simplify right side
    34,786.02x = 5,748,833,518.63
  5. Step 5: Solve for x
    x = 5,748,833,518.63/34,786.02
  6. Step 6: Final answer
    x = 165,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.