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Finding the Third Proportional to 41,024.81 and 84,893.06

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Solution

The third proportional to 41,024.81 and 84,893.06 is: 175,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024.81 : 84,893.06 = 84,893.06 : x
  2. Step 2: Convert to fraction form
    41,024.81/84,893.06 = 84,893.06/x
  3. Step 3: Cross multiply
    41,024.81x = 84,893.06 × 84,893.06
  4. Step 4: Simplify right side
    41,024.81x = 7,206,832,060.63
  5. Step 5: Solve for x
    x = 7,206,832,060.63/41,024.81
  6. Step 6: Final answer
    x = 175,670.08

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.