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Finding the Third Proportional to 2,038.29 and 2,997.63

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Solution

The third proportional to 2,038.29 and 2,997.63 is: 4,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.29 : 2,997.63 = 2,997.63 : x
  2. Step 2: Convert to fraction form
    2,038.29/2,997.63 = 2,997.63/x
  3. Step 3: Cross multiply
    2,038.29x = 2,997.63 × 2,997.63
  4. Step 4: Simplify right side
    2,038.29x = 8,985,802.48
  5. Step 5: Solve for x
    x = 8,985,802.48/2,038.29
  6. Step 6: Final answer
    x = 4,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.