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Finding the Third Proportional to 12,736.13 and 21,223.13

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Solution

The third proportional to 12,736.13 and 21,223.13 is: 35,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736.13 : 21,223.13 = 21,223.13 : x
  2. Step 2: Convert to fraction form
    12,736.13/21,223.13 = 21,223.13/x
  3. Step 3: Cross multiply
    12,736.13x = 21,223.13 × 21,223.13
  4. Step 4: Simplify right side
    12,736.13x = 450,421,034.77
  5. Step 5: Solve for x
    x = 450,421,034.77/12,736.13
  6. Step 6: Final answer
    x = 35,365.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.