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Finding the Third Proportional to 14,742.75 and 23,446.88

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Solution

The third proportional to 14,742.75 and 23,446.88 is: 37,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.75 : 23,446.88 = 23,446.88 : x
  2. Step 2: Convert to fraction form
    14,742.75/23,446.88 = 23,446.88/x
  3. Step 3: Cross multiply
    14,742.75x = 23,446.88 × 23,446.88
  4. Step 4: Simplify right side
    14,742.75x = 549,755,947.27
  5. Step 5: Solve for x
    x = 549,755,947.27/14,742.75
  6. Step 6: Final answer
    x = 37,289.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.