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Finding the Third Proportional to 1,581 and 1,833

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Solution

The third proportional to 1,581 and 1,833 is: 2,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581 : 1,833 = 1,833 : x
  2. Step 2: Convert to fraction form
    1,581/1,833 = 1,833/x
  3. Step 3: Cross multiply
    1,581x = 1,833 × 1,833
  4. Step 4: Simplify right side
    1,581x = 3,359,889
  5. Step 5: Solve for x
    x = 3,359,889/1,581
  6. Step 6: Final answer
    x = 2,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.