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Finding the Third Proportional to 12,649.50 and 20,324.25

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Solution

The third proportional to 12,649.50 and 20,324.25 is: 32,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 20,324.25 = 20,324.25 : x
  2. Step 2: Convert to fraction form
    12,649.50/20,324.25 = 20,324.25/x
  3. Step 3: Cross multiply
    12,649.50x = 20,324.25 × 20,324.25
  4. Step 4: Simplify right side
    12,649.50x = 413,075,138.06
  5. Step 5: Solve for x
    x = 413,075,138.06/12,649.50
  6. Step 6: Final answer
    x = 32,655.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.