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Finding the Third Proportional to 34,403.60 and 48,448.24

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Solution

The third proportional to 34,403.60 and 48,448.24 is: 68,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.60 : 48,448.24 = 48,448.24 : x
  2. Step 2: Convert to fraction form
    34,403.60/48,448.24 = 48,448.24/x
  3. Step 3: Cross multiply
    34,403.60x = 48,448.24 × 48,448.24
  4. Step 4: Simplify right side
    34,403.60x = 2,347,232,313.00
  5. Step 5: Solve for x
    x = 2,347,232,313.00/34,403.60
  6. Step 6: Final answer
    x = 68,226.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.