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Finding the Third Proportional to 19,014.75 and 40,999.50

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Solution

The third proportional to 19,014.75 and 40,999.50 is: 88,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014.75 : 40,999.50 = 40,999.50 : x
  2. Step 2: Convert to fraction form
    19,014.75/40,999.50 = 40,999.50/x
  3. Step 3: Cross multiply
    19,014.75x = 40,999.50 × 40,999.50
  4. Step 4: Simplify right side
    19,014.75x = 1,680,959,000.25
  5. Step 5: Solve for x
    x = 1,680,959,000.25/19,014.75
  6. Step 6: Final answer
    x = 88,402.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.