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Finding the Third Proportional to 1,824 and 4,920

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Solution

The third proportional to 1,824 and 4,920 is: 13,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 4,920 = 4,920 : x
  2. Step 2: Convert to fraction form
    1,824/4,920 = 4,920/x
  3. Step 3: Cross multiply
    1,824x = 4,920 × 4,920
  4. Step 4: Simplify right side
    1,824x = 24,206,400
  5. Step 5: Solve for x
    x = 24,206,400/1,824
  6. Step 6: Final answer
    x = 13,271.05

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.