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Finding the Third Proportional to 15,103.75 and 23,053.38

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Solution

The third proportional to 15,103.75 and 23,053.38 is: 35,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103.75 : 23,053.38 = 23,053.38 : x
  2. Step 2: Convert to fraction form
    15,103.75/23,053.38 = 23,053.38/x
  3. Step 3: Cross multiply
    15,103.75x = 23,053.38 × 23,053.38
  4. Step 4: Simplify right side
    15,103.75x = 531,458,098.89
  5. Step 5: Solve for x
    x = 531,458,098.89/15,103.75
  6. Step 6: Final answer
    x = 35,187.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.