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Finding the Third Proportional to 14,655.94 and 22,707.84

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Solution

The third proportional to 14,655.94 and 22,707.84 is: 35,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.94 : 22,707.84 = 22,707.84 : x
  2. Step 2: Convert to fraction form
    14,655.94/22,707.84 = 22,707.84/x
  3. Step 3: Cross multiply
    14,655.94x = 22,707.84 × 22,707.84
  4. Step 4: Simplify right side
    14,655.94x = 515,646,167.77
  5. Step 5: Solve for x
    x = 515,646,167.77/14,655.94
  6. Step 6: Final answer
    x = 35,183.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.