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Finding the Third Proportional to 2,138.06 and 3,931.88

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Solution

The third proportional to 2,138.06 and 3,931.88 is: 7,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,931.88 = 3,931.88 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,931.88 = 3,931.88/x
  3. Step 3: Cross multiply
    2,138.06x = 3,931.88 × 3,931.88
  4. Step 4: Simplify right side
    2,138.06x = 15,459,641.02
  5. Step 5: Solve for x
    x = 15,459,641.02/2,138.06
  6. Step 6: Final answer
    x = 7,230.68

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.