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Finding the Third Proportional to 1,823.50 and 4,609

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Solution

The third proportional to 1,823.50 and 4,609 is: 11,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.50 : 4,609 = 4,609 : x
  2. Step 2: Convert to fraction form
    1,823.50/4,609 = 4,609/x
  3. Step 3: Cross multiply
    1,823.50x = 4,609 × 4,609
  4. Step 4: Simplify right side
    1,823.50x = 21,242,881
  5. Step 5: Solve for x
    x = 21,242,881/1,823.50
  6. Step 6: Final answer
    x = 11,649.51

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.