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Finding the Third Proportional to 11,694.94 and 22,312.13

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Solution

The third proportional to 11,694.94 and 22,312.13 is: 42,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.94 : 22,312.13 = 22,312.13 : x
  2. Step 2: Convert to fraction form
    11,694.94/22,312.13 = 22,312.13/x
  3. Step 3: Cross multiply
    11,694.94x = 22,312.13 × 22,312.13
  4. Step 4: Simplify right side
    11,694.94x = 497,830,922.02
  5. Step 5: Solve for x
    x = 497,830,922.02/11,694.94
  6. Step 6: Final answer
    x = 42,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.