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Finding the Third Proportional to 11,229 and 14,977.50

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Solution

The third proportional to 11,229 and 14,977.50 is: 19,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 14,977.50 = 14,977.50 : x
  2. Step 2: Convert to fraction form
    11,229/14,977.50 = 14,977.50/x
  3. Step 3: Cross multiply
    11,229x = 14,977.50 × 14,977.50
  4. Step 4: Simplify right side
    11,229x = 224,325,506.25
  5. Step 5: Solve for x
    x = 224,325,506.25/11,229
  6. Step 6: Final answer
    x = 19,977.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.