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Finding the Third Proportional to 26,871.50 and 58,345

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Solution

The third proportional to 26,871.50 and 58,345 is: 126,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871.50 : 58,345 = 58,345 : x
  2. Step 2: Convert to fraction form
    26,871.50/58,345 = 58,345/x
  3. Step 3: Cross multiply
    26,871.50x = 58,345 × 58,345
  4. Step 4: Simplify right side
    26,871.50x = 3,404,139,025
  5. Step 5: Solve for x
    x = 3,404,139,025/26,871.50
  6. Step 6: Final answer
    x = 126,682.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.