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Finding the Third Proportional to 21,332.86 and 30,729.06

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Solution

The third proportional to 21,332.86 and 30,729.06 is: 44,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.86 : 30,729.06 = 30,729.06 : x
  2. Step 2: Convert to fraction form
    21,332.86/30,729.06 = 30,729.06/x
  3. Step 3: Cross multiply
    21,332.86x = 30,729.06 × 30,729.06
  4. Step 4: Simplify right side
    21,332.86x = 944,275,042.06
  5. Step 5: Solve for x
    x = 944,275,042.06/21,332.86
  6. Step 6: Final answer
    x = 44,263.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.