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Finding the Third Proportional to 16,200.02 and 24,300.05

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Solution

The third proportional to 16,200.02 and 24,300.05 is: 36,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.02 : 24,300.05 = 24,300.05 : x
  2. Step 2: Convert to fraction form
    16,200.02/24,300.05 = 24,300.05/x
  3. Step 3: Cross multiply
    16,200.02x = 24,300.05 × 24,300.05
  4. Step 4: Simplify right side
    16,200.02x = 590,492,278.13
  5. Step 5: Solve for x
    x = 590,492,278.13/16,200.02
  6. Step 6: Final answer
    x = 36,450.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.