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Finding the Third Proportional to 1,050.05 and 1,551.45

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Solution

The third proportional to 1,050.05 and 1,551.45 is: 2,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.05 : 1,551.45 = 1,551.45 : x
  2. Step 2: Convert to fraction form
    1,050.05/1,551.45 = 1,551.45/x
  3. Step 3: Cross multiply
    1,050.05x = 1,551.45 × 1,551.45
  4. Step 4: Simplify right side
    1,050.05x = 2,406,982.56
  5. Step 5: Solve for x
    x = 2,406,982.56/1,050.05
  6. Step 6: Final answer
    x = 2,292.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.