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Finding the Third Proportional to 14,971.50 and 24,826.50

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Solution

The third proportional to 14,971.50 and 24,826.50 is: 41,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.50 : 24,826.50 = 24,826.50 : x
  2. Step 2: Convert to fraction form
    14,971.50/24,826.50 = 24,826.50/x
  3. Step 3: Cross multiply
    14,971.50x = 24,826.50 × 24,826.50
  4. Step 4: Simplify right side
    14,971.50x = 616,355,102.25
  5. Step 5: Solve for x
    x = 616,355,102.25/14,971.50
  6. Step 6: Final answer
    x = 41,168.56

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.