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Finding the Third Proportional to 1,823 and 4,385

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Solution

The third proportional to 1,823 and 4,385 is: 10,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823 : 4,385 = 4,385 : x
  2. Step 2: Convert to fraction form
    1,823/4,385 = 4,385/x
  3. Step 3: Cross multiply
    1,823x = 4,385 × 4,385
  4. Step 4: Simplify right side
    1,823x = 19,228,225
  5. Step 5: Solve for x
    x = 19,228,225/1,823
  6. Step 6: Final answer
    x = 10,547.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.