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Finding the Third Proportional to 12,153 and 16,528.50

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Solution

The third proportional to 12,153 and 16,528.50 is: 22,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153 : 16,528.50 = 16,528.50 : x
  2. Step 2: Convert to fraction form
    12,153/16,528.50 = 16,528.50/x
  3. Step 3: Cross multiply
    12,153x = 16,528.50 × 16,528.50
  4. Step 4: Simplify right side
    12,153x = 273,191,312.25
  5. Step 5: Solve for x
    x = 273,191,312.25/12,153
  6. Step 6: Final answer
    x = 22,479.33

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.