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Finding the Third Proportional to 1,856.67 and 4,072.15

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Solution

The third proportional to 1,856.67 and 4,072.15 is: 8,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.67 : 4,072.15 = 4,072.15 : x
  2. Step 2: Convert to fraction form
    1,856.67/4,072.15 = 4,072.15/x
  3. Step 3: Cross multiply
    1,856.67x = 4,072.15 × 4,072.15
  4. Step 4: Simplify right side
    1,856.67x = 16,582,392.90
  5. Step 5: Solve for x
    x = 16,582,392.90/1,856.67
  6. Step 6: Final answer
    x = 8,931.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.