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Finding the Third Proportional to 13,772.50 and 28,271

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Solution

The third proportional to 13,772.50 and 28,271 is: 58,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.50 : 28,271 = 28,271 : x
  2. Step 2: Convert to fraction form
    13,772.50/28,271 = 28,271/x
  3. Step 3: Cross multiply
    13,772.50x = 28,271 × 28,271
  4. Step 4: Simplify right side
    13,772.50x = 799,249,441
  5. Step 5: Solve for x
    x = 799,249,441/13,772.50
  6. Step 6: Final answer
    x = 58,032.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.