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Finding the Third Proportional to 35,083.13 and 45,516.94

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Solution

The third proportional to 35,083.13 and 45,516.94 is: 59,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.13 : 45,516.94 = 45,516.94 : x
  2. Step 2: Convert to fraction form
    35,083.13/45,516.94 = 45,516.94/x
  3. Step 3: Cross multiply
    35,083.13x = 45,516.94 × 45,516.94
  4. Step 4: Simplify right side
    35,083.13x = 2,071,791,599.38
  5. Step 5: Solve for x
    x = 2,071,791,599.38/35,083.13
  6. Step 6: Final answer
    x = 59,053.79

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.