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Finding the Third Proportional to 14,539.50 and 23,211.56

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Solution

The third proportional to 14,539.50 and 23,211.56 is: 37,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 23,211.56 = 23,211.56 : x
  2. Step 2: Convert to fraction form
    14,539.50/23,211.56 = 23,211.56/x
  3. Step 3: Cross multiply
    14,539.50x = 23,211.56 × 23,211.56
  4. Step 4: Simplify right side
    14,539.50x = 538,776,633.69
  5. Step 5: Solve for x
    x = 538,776,633.69/14,539.50
  6. Step 6: Final answer
    x = 37,056.06

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.