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Finding the Third Proportional to 10,595 and 23,033

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Solution

The third proportional to 10,595 and 23,033 is: 50,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595 : 23,033 = 23,033 : x
  2. Step 2: Convert to fraction form
    10,595/23,033 = 23,033/x
  3. Step 3: Cross multiply
    10,595x = 23,033 × 23,033
  4. Step 4: Simplify right side
    10,595x = 530,519,089
  5. Step 5: Solve for x
    x = 530,519,089/10,595
  6. Step 6: Final answer
    x = 50,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.