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Finding the Third Proportional to 1,097.63 and 1,650.56

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Solution

The third proportional to 1,097.63 and 1,650.56 is: 2,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.63 : 1,650.56 = 1,650.56 : x
  2. Step 2: Convert to fraction form
    1,097.63/1,650.56 = 1,650.56/x
  3. Step 3: Cross multiply
    1,097.63x = 1,650.56 × 1,650.56
  4. Step 4: Simplify right side
    1,097.63x = 2,724,356.57
  5. Step 5: Solve for x
    x = 2,724,356.57/1,097.63
  6. Step 6: Final answer
    x = 2,482.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.