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Finding the Third Proportional to 2,997 and 4,386.94

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Solution

The third proportional to 2,997 and 4,386.94 is: 6,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,386.94 = 4,386.94 : x
  2. Step 2: Convert to fraction form
    2,997/4,386.94 = 4,386.94/x
  3. Step 3: Cross multiply
    2,997x = 4,386.94 × 4,386.94
  4. Step 4: Simplify right side
    2,997x = 19,245,220.63
  5. Step 5: Solve for x
    x = 19,245,220.63/2,997
  6. Step 6: Final answer
    x = 6,421.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.