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Finding the Third Proportional to 1,054.03 and 1,628.53

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Solution

The third proportional to 1,054.03 and 1,628.53 is: 2,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.03 : 1,628.53 = 1,628.53 : x
  2. Step 2: Convert to fraction form
    1,054.03/1,628.53 = 1,628.53/x
  3. Step 3: Cross multiply
    1,054.03x = 1,628.53 × 1,628.53
  4. Step 4: Simplify right side
    1,054.03x = 2,652,114.03
  5. Step 5: Solve for x
    x = 2,652,114.03/1,054.03
  6. Step 6: Final answer
    x = 2,516.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.