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Finding the Third Proportional to 14,944.50 and 23,441.91

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Solution

The third proportional to 14,944.50 and 23,441.91 is: 36,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.50 : 23,441.91 = 23,441.91 : x
  2. Step 2: Convert to fraction form
    14,944.50/23,441.91 = 23,441.91/x
  3. Step 3: Cross multiply
    14,944.50x = 23,441.91 × 23,441.91
  4. Step 4: Simplify right side
    14,944.50x = 549,522,968.63
  5. Step 5: Solve for x
    x = 549,522,968.63/14,944.50
  6. Step 6: Final answer
    x = 36,770.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.