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Finding the Third Proportional to 24,129.50 and 36,912

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Solution

The third proportional to 24,129.50 and 36,912 is: 56,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.50 : 36,912 = 36,912 : x
  2. Step 2: Convert to fraction form
    24,129.50/36,912 = 36,912/x
  3. Step 3: Cross multiply
    24,129.50x = 36,912 × 36,912
  4. Step 4: Simplify right side
    24,129.50x = 1,362,495,744
  5. Step 5: Solve for x
    x = 1,362,495,744/24,129.50
  6. Step 6: Final answer
    x = 56,465.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.