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Finding the Third Proportional to 14,656.50 and 22,728.38

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Solution

The third proportional to 14,656.50 and 22,728.38 is: 35,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.50 : 22,728.38 = 22,728.38 : x
  2. Step 2: Convert to fraction form
    14,656.50/22,728.38 = 22,728.38/x
  3. Step 3: Cross multiply
    14,656.50x = 22,728.38 × 22,728.38
  4. Step 4: Simplify right side
    14,656.50x = 516,579,030.14
  5. Step 5: Solve for x
    x = 516,579,030.14/14,656.50
  6. Step 6: Final answer
    x = 35,245.73

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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.