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Finding the Third Proportional to 35,054.02 and 76,532.34

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Solution

The third proportional to 35,054.02 and 76,532.34 is: 167,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054.02 : 76,532.34 = 76,532.34 : x
  2. Step 2: Convert to fraction form
    35,054.02/76,532.34 = 76,532.34/x
  3. Step 3: Cross multiply
    35,054.02x = 76,532.34 × 76,532.34
  4. Step 4: Simplify right side
    35,054.02x = 5,857,199,639.87
  5. Step 5: Solve for x
    x = 5,857,199,639.87/35,054.02
  6. Step 6: Final answer
    x = 167,090.69

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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.