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Finding the Third Proportional to 35,052 and 76,447.50

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Solution

The third proportional to 35,052 and 76,447.50 is: 166,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,052 : 76,447.50 = 76,447.50 : x
  2. Step 2: Convert to fraction form
    35,052/76,447.50 = 76,447.50/x
  3. Step 3: Cross multiply
    35,052x = 76,447.50 × 76,447.50
  4. Step 4: Simplify right side
    35,052x = 5,844,220,256.25
  5. Step 5: Solve for x
    x = 5,844,220,256.25/35,052
  6. Step 6: Final answer
    x = 166,730.01

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