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Finding the Third Proportional to 5,457.38 and 11,795.63

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Solution

The third proportional to 5,457.38 and 11,795.63 is: 25,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.38 : 11,795.63 = 11,795.63 : x
  2. Step 2: Convert to fraction form
    5,457.38/11,795.63 = 11,795.63/x
  3. Step 3: Cross multiply
    5,457.38x = 11,795.63 × 11,795.63
  4. Step 4: Simplify right side
    5,457.38x = 139,136,769.14
  5. Step 5: Solve for x
    x = 139,136,769.14/5,457.38
  6. Step 6: Final answer
    x = 25,495.18

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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.