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Finding the Third Proportional to 11,594.81 and 20,957.06

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Solution

The third proportional to 11,594.81 and 20,957.06 is: 37,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.81 : 20,957.06 = 20,957.06 : x
  2. Step 2: Convert to fraction form
    11,594.81/20,957.06 = 20,957.06/x
  3. Step 3: Cross multiply
    11,594.81x = 20,957.06 × 20,957.06
  4. Step 4: Simplify right side
    11,594.81x = 439,198,468.63
  5. Step 5: Solve for x
    x = 439,198,468.63/11,594.81
  6. Step 6: Final answer
    x = 37,878.88

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.