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Finding the Third Proportional to 1,259.44 and 1,852.03

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Solution

The third proportional to 1,259.44 and 1,852.03 is: 2,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.44 : 1,852.03 = 1,852.03 : x
  2. Step 2: Convert to fraction form
    1,259.44/1,852.03 = 1,852.03/x
  3. Step 3: Cross multiply
    1,259.44x = 1,852.03 × 1,852.03
  4. Step 4: Simplify right side
    1,259.44x = 3,430,019.75
  5. Step 5: Solve for x
    x = 3,430,019.75/1,259.44
  6. Step 6: Final answer
    x = 2,723.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.