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Finding the Third Proportional to 25,231.50 and 55,358.44

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Solution

The third proportional to 25,231.50 and 55,358.44 is: 121,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.50 : 55,358.44 = 55,358.44 : x
  2. Step 2: Convert to fraction form
    25,231.50/55,358.44 = 55,358.44/x
  3. Step 3: Cross multiply
    25,231.50x = 55,358.44 × 55,358.44
  4. Step 4: Simplify right side
    25,231.50x = 3,064,556,602.44
  5. Step 5: Solve for x
    x = 3,064,556,602.44/25,231.50
  6. Step 6: Final answer
    x = 121,457.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.