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Finding the Third Proportional to 1,532 and 2,303

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Solution

The third proportional to 1,532 and 2,303 is: 3,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532 : 2,303 = 2,303 : x
  2. Step 2: Convert to fraction form
    1,532/2,303 = 2,303/x
  3. Step 3: Cross multiply
    1,532x = 2,303 × 2,303
  4. Step 4: Simplify right side
    1,532x = 5,303,809
  5. Step 5: Solve for x
    x = 5,303,809/1,532
  6. Step 6: Final answer
    x = 3,462.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.