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Finding the Third Proportional to 3,023.58 and 6,457.22

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Solution

The third proportional to 3,023.58 and 6,457.22 is: 13,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.58 : 6,457.22 = 6,457.22 : x
  2. Step 2: Convert to fraction form
    3,023.58/6,457.22 = 6,457.22/x
  3. Step 3: Cross multiply
    3,023.58x = 6,457.22 × 6,457.22
  4. Step 4: Simplify right side
    3,023.58x = 41,695,673.99
  5. Step 5: Solve for x
    x = 41,695,673.99/3,023.58
  6. Step 6: Final answer
    x = 13,790.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.