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Finding the Third Proportional to 14,160.45 and 30,538.27

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Solution

The third proportional to 14,160.45 and 30,538.27 is: 65,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.45 : 30,538.27 = 30,538.27 : x
  2. Step 2: Convert to fraction form
    14,160.45/30,538.27 = 30,538.27/x
  3. Step 3: Cross multiply
    14,160.45x = 30,538.27 × 30,538.27
  4. Step 4: Simplify right side
    14,160.45x = 932,585,667.38
  5. Step 5: Solve for x
    x = 932,585,667.38/14,160.45
  6. Step 6: Final answer
    x = 65,858.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.