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Finding the Third Proportional to 16,443 and 24,567.50

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Solution

The third proportional to 16,443 and 24,567.50 is: 36,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 24,567.50 = 24,567.50 : x
  2. Step 2: Convert to fraction form
    16,443/24,567.50 = 24,567.50/x
  3. Step 3: Cross multiply
    16,443x = 24,567.50 × 24,567.50
  4. Step 4: Simplify right side
    16,443x = 603,562,056.25
  5. Step 5: Solve for x
    x = 603,562,056.25/16,443
  6. Step 6: Final answer
    x = 36,706.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.