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Finding the Third Proportional to 21,189.94 and 31,024.69

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Solution

The third proportional to 21,189.94 and 31,024.69 is: 45,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.94 : 31,024.69 = 31,024.69 : x
  2. Step 2: Convert to fraction form
    21,189.94/31,024.69 = 31,024.69/x
  3. Step 3: Cross multiply
    21,189.94x = 31,024.69 × 31,024.69
  4. Step 4: Simplify right side
    21,189.94x = 962,531,234.47
  5. Step 5: Solve for x
    x = 962,531,234.47/21,189.94
  6. Step 6: Final answer
    x = 45,423.98

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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.