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Finding the Third Proportional to 10,014 and 23,179.50

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Solution

The third proportional to 10,014 and 23,179.50 is: 53,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 23,179.50 = 23,179.50 : x
  2. Step 2: Convert to fraction form
    10,014/23,179.50 = 23,179.50/x
  3. Step 3: Cross multiply
    10,014x = 23,179.50 × 23,179.50
  4. Step 4: Simplify right side
    10,014x = 537,289,220.25
  5. Step 5: Solve for x
    x = 537,289,220.25/10,014
  6. Step 6: Final answer
    x = 53,653.81

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