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Finding the Third Proportional to 2,495.39 and 3,840.12

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Solution

The third proportional to 2,495.39 and 3,840.12 is: 5,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.39 : 3,840.12 = 3,840.12 : x
  2. Step 2: Convert to fraction form
    2,495.39/3,840.12 = 3,840.12/x
  3. Step 3: Cross multiply
    2,495.39x = 3,840.12 × 3,840.12
  4. Step 4: Simplify right side
    2,495.39x = 14,746,500.01
  5. Step 5: Solve for x
    x = 14,746,500.01/2,495.39
  6. Step 6: Final answer
    x = 5,909.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.