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Finding the Third Proportional to 13,000.50 and 14,276.25

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Solution

The third proportional to 13,000.50 and 14,276.25 is: 15,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.50 : 14,276.25 = 14,276.25 : x
  2. Step 2: Convert to fraction form
    13,000.50/14,276.25 = 14,276.25/x
  3. Step 3: Cross multiply
    13,000.50x = 14,276.25 × 14,276.25
  4. Step 4: Simplify right side
    13,000.50x = 203,811,314.06
  5. Step 5: Solve for x
    x = 203,811,314.06/13,000.50
  6. Step 6: Final answer
    x = 15,677.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.