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Finding the Third Proportional to 10,595 and 23,011

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Solution

The third proportional to 10,595 and 23,011 is: 49,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595 : 23,011 = 23,011 : x
  2. Step 2: Convert to fraction form
    10,595/23,011 = 23,011/x
  3. Step 3: Cross multiply
    10,595x = 23,011 × 23,011
  4. Step 4: Simplify right side
    10,595x = 529,506,121
  5. Step 5: Solve for x
    x = 529,506,121/10,595
  6. Step 6: Final answer
    x = 49,976.98

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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.