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Finding the Third Proportional to 14,870.50 and 19,825

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Solution

The third proportional to 14,870.50 and 19,825 is: 26,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.50 : 19,825 = 19,825 : x
  2. Step 2: Convert to fraction form
    14,870.50/19,825 = 19,825/x
  3. Step 3: Cross multiply
    14,870.50x = 19,825 × 19,825
  4. Step 4: Simplify right side
    14,870.50x = 393,030,625
  5. Step 5: Solve for x
    x = 393,030,625/14,870.50
  6. Step 6: Final answer
    x = 26,430.22

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.