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Finding the Third Proportional to 10,014 and 23,181.75

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Solution

The third proportional to 10,014 and 23,181.75 is: 53,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 23,181.75 = 23,181.75 : x
  2. Step 2: Convert to fraction form
    10,014/23,181.75 = 23,181.75/x
  3. Step 3: Cross multiply
    10,014x = 23,181.75 × 23,181.75
  4. Step 4: Simplify right side
    10,014x = 537,393,533.06
  5. Step 5: Solve for x
    x = 537,393,533.06/10,014
  6. Step 6: Final answer
    x = 53,664.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.