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Finding the Third Proportional to 20,224.50 and 29,567.25

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Solution

The third proportional to 20,224.50 and 29,567.25 is: 43,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.50 : 29,567.25 = 29,567.25 : x
  2. Step 2: Convert to fraction form
    20,224.50/29,567.25 = 29,567.25/x
  3. Step 3: Cross multiply
    20,224.50x = 29,567.25 × 29,567.25
  4. Step 4: Simplify right side
    20,224.50x = 874,222,272.56
  5. Step 5: Solve for x
    x = 874,222,272.56/20,224.50
  6. Step 6: Final answer
    x = 43,225.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.