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Finding the Third Proportional to 1,070.72 and 2,351.53

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Solution

The third proportional to 1,070.72 and 2,351.53 is: 5,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 2,351.53 = 2,351.53 : x
  2. Step 2: Convert to fraction form
    1,070.72/2,351.53 = 2,351.53/x
  3. Step 3: Cross multiply
    1,070.72x = 2,351.53 × 2,351.53
  4. Step 4: Simplify right side
    1,070.72x = 5,529,699.22
  5. Step 5: Solve for x
    x = 5,529,699.22/1,070.72
  6. Step 6: Final answer
    x = 5,164.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.