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Finding the Third Proportional to 2,973 and 4,230

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Solution

The third proportional to 2,973 and 4,230 is: 6,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973 : 4,230 = 4,230 : x
  2. Step 2: Convert to fraction form
    2,973/4,230 = 4,230/x
  3. Step 3: Cross multiply
    2,973x = 4,230 × 4,230
  4. Step 4: Simplify right side
    2,973x = 17,892,900
  5. Step 5: Solve for x
    x = 17,892,900/2,973
  6. Step 6: Final answer
    x = 6,018.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.