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Finding the Third Proportional to 54,828.50 and 82,648

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Solution

The third proportional to 54,828.50 and 82,648 is: 124,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828.50 : 82,648 = 82,648 : x
  2. Step 2: Convert to fraction form
    54,828.50/82,648 = 82,648/x
  3. Step 3: Cross multiply
    54,828.50x = 82,648 × 82,648
  4. Step 4: Simplify right side
    54,828.50x = 6,830,691,904
  5. Step 5: Solve for x
    x = 6,830,691,904/54,828.50
  6. Step 6: Final answer
    x = 124,582.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.