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Finding the Third Proportional to 12,711.94 and 23,783.63

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Solution

The third proportional to 12,711.94 and 23,783.63 is: 44,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 23,783.63 = 23,783.63 : x
  2. Step 2: Convert to fraction form
    12,711.94/23,783.63 = 23,783.63/x
  3. Step 3: Cross multiply
    12,711.94x = 23,783.63 × 23,783.63
  4. Step 4: Simplify right side
    12,711.94x = 565,660,818.14
  5. Step 5: Solve for x
    x = 565,660,818.14/12,711.94
  6. Step 6: Final answer
    x = 44,498.40

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.