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Finding the Third Proportional to 19,014 and 24,700.50

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Solution

The third proportional to 19,014 and 24,700.50 is: 32,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014 : 24,700.50 = 24,700.50 : x
  2. Step 2: Convert to fraction form
    19,014/24,700.50 = 24,700.50/x
  3. Step 3: Cross multiply
    19,014x = 24,700.50 × 24,700.50
  4. Step 4: Simplify right side
    19,014x = 610,114,700.25
  5. Step 5: Solve for x
    x = 610,114,700.25/19,014
  6. Step 6: Final answer
    x = 32,087.66

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.