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Finding the Third Proportional to 2,155.50 and 2,807.06

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Solution

The third proportional to 2,155.50 and 2,807.06 is: 3,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.50 : 2,807.06 = 2,807.06 : x
  2. Step 2: Convert to fraction form
    2,155.50/2,807.06 = 2,807.06/x
  3. Step 3: Cross multiply
    2,155.50x = 2,807.06 × 2,807.06
  4. Step 4: Simplify right side
    2,155.50x = 7,879,599.88
  5. Step 5: Solve for x
    x = 7,879,599.88/2,155.50
  6. Step 6: Final answer
    x = 3,655.58

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.