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Finding the Third Proportional to 35,712 and 76,803.75

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Solution

The third proportional to 35,712 and 76,803.75 is: 165,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 76,803.75 = 76,803.75 : x
  2. Step 2: Convert to fraction form
    35,712/76,803.75 = 76,803.75/x
  3. Step 3: Cross multiply
    35,712x = 76,803.75 × 76,803.75
  4. Step 4: Simplify right side
    35,712x = 5,898,816,014.06
  5. Step 5: Solve for x
    x = 5,898,816,014.06/35,712
  6. Step 6: Final answer
    x = 165,177.42

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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.