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Finding the Third Proportional to 12,982.50 and 14,197.50

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Solution

The third proportional to 12,982.50 and 14,197.50 is: 15,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.50 : 14,197.50 = 14,197.50 : x
  2. Step 2: Convert to fraction form
    12,982.50/14,197.50 = 14,197.50/x
  3. Step 3: Cross multiply
    12,982.50x = 14,197.50 × 14,197.50
  4. Step 4: Simplify right side
    12,982.50x = 201,569,006.25
  5. Step 5: Solve for x
    x = 201,569,006.25/12,982.50
  6. Step 6: Final answer
    x = 15,526.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.