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Finding the Third Proportional to 11,272.50 and 13,612.50

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Solution

The third proportional to 11,272.50 and 13,612.50 is: 16,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.50 : 13,612.50 = 13,612.50 : x
  2. Step 2: Convert to fraction form
    11,272.50/13,612.50 = 13,612.50/x
  3. Step 3: Cross multiply
    11,272.50x = 13,612.50 × 13,612.50
  4. Step 4: Simplify right side
    11,272.50x = 185,300,156.25
  5. Step 5: Solve for x
    x = 185,300,156.25/11,272.50
  6. Step 6: Final answer
    x = 16,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.