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Finding the Third Proportional to 34,238.63 and 54,328.13

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Solution

The third proportional to 34,238.63 and 54,328.13 is: 86,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238.63 : 54,328.13 = 54,328.13 : x
  2. Step 2: Convert to fraction form
    34,238.63/54,328.13 = 54,328.13/x
  3. Step 3: Cross multiply
    34,238.63x = 54,328.13 × 54,328.13
  4. Step 4: Simplify right side
    34,238.63x = 2,951,545,166.02
  5. Step 5: Solve for x
    x = 2,951,545,166.02/34,238.63
  6. Step 6: Final answer
    x = 86,205.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.