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Finding the Third Proportional to 1,070.72 and 2,109.80

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Solution

The third proportional to 1,070.72 and 2,109.80 is: 4,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 2,109.80 = 2,109.80 : x
  2. Step 2: Convert to fraction form
    1,070.72/2,109.80 = 2,109.80/x
  3. Step 3: Cross multiply
    1,070.72x = 2,109.80 × 2,109.80
  4. Step 4: Simplify right side
    1,070.72x = 4,451,242.85
  5. Step 5: Solve for x
    x = 4,451,242.85/1,070.72
  6. Step 6: Final answer
    x = 4,157.25

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.