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Finding the Third Proportional to 35,368.50 and 77,055

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Solution

The third proportional to 35,368.50 and 77,055 is: 167,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,368.50 : 77,055 = 77,055 : x
  2. Step 2: Convert to fraction form
    35,368.50/77,055 = 77,055/x
  3. Step 3: Cross multiply
    35,368.50x = 77,055 × 77,055
  4. Step 4: Simplify right side
    35,368.50x = 5,937,473,025
  5. Step 5: Solve for x
    x = 5,937,473,025/35,368.50
  6. Step 6: Final answer
    x = 167,874.61

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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.