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Finding the Third Proportional to 7,914 and 14,671.50

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Solution

The third proportional to 7,914 and 14,671.50 is: 27,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 14,671.50 = 14,671.50 : x
  2. Step 2: Convert to fraction form
    7,914/14,671.50 = 14,671.50/x
  3. Step 3: Cross multiply
    7,914x = 14,671.50 × 14,671.50
  4. Step 4: Simplify right side
    7,914x = 215,252,912.25
  5. Step 5: Solve for x
    x = 215,252,912.25/7,914
  6. Step 6: Final answer
    x = 27,199.00

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.