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Finding the Third Proportional to 16,038 and 24,683.48

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Solution

The third proportional to 16,038 and 24,683.48 is: 37,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 24,683.48 = 24,683.48 : x
  2. Step 2: Convert to fraction form
    16,038/24,683.48 = 24,683.48/x
  3. Step 3: Cross multiply
    16,038x = 24,683.48 × 24,683.48
  4. Step 4: Simplify right side
    16,038x = 609,274,400.89
  5. Step 5: Solve for x
    x = 609,274,400.89/16,038
  6. Step 6: Final answer
    x = 37,989.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.