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Finding the Third Proportional to 2,983.22 and 6,457.36

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Solution

The third proportional to 2,983.22 and 6,457.36 is: 13,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.22 : 6,457.36 = 6,457.36 : x
  2. Step 2: Convert to fraction form
    2,983.22/6,457.36 = 6,457.36/x
  3. Step 3: Cross multiply
    2,983.22x = 6,457.36 × 6,457.36
  4. Step 4: Simplify right side
    2,983.22x = 41,697,490.10
  5. Step 5: Solve for x
    x = 41,697,490.10/2,983.22
  6. Step 6: Final answer
    x = 13,977.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.