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Finding the Third Proportional to 1,533 and 2,342

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Solution

The third proportional to 1,533 and 2,342 is: 3,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,342 = 2,342 : x
  2. Step 2: Convert to fraction form
    1,533/2,342 = 2,342/x
  3. Step 3: Cross multiply
    1,533x = 2,342 × 2,342
  4. Step 4: Simplify right side
    1,533x = 5,484,964
  5. Step 5: Solve for x
    x = 5,484,964/1,533
  6. Step 6: Final answer
    x = 3,577.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.