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Finding the Third Proportional to 14,586.94 and 29,708.81

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Solution

The third proportional to 14,586.94 and 29,708.81 is: 60,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.94 : 29,708.81 = 29,708.81 : x
  2. Step 2: Convert to fraction form
    14,586.94/29,708.81 = 29,708.81/x
  3. Step 3: Cross multiply
    14,586.94x = 29,708.81 × 29,708.81
  4. Step 4: Simplify right side
    14,586.94x = 882,613,540.16
  5. Step 5: Solve for x
    x = 882,613,540.16/14,586.94
  6. Step 6: Final answer
    x = 60,507.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.