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Finding the Third Proportional to 14,709.09 and 30,731.91

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Solution

The third proportional to 14,709.09 and 30,731.91 is: 64,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.09 : 30,731.91 = 30,731.91 : x
  2. Step 2: Convert to fraction form
    14,709.09/30,731.91 = 30,731.91/x
  3. Step 3: Cross multiply
    14,709.09x = 30,731.91 × 30,731.91
  4. Step 4: Simplify right side
    14,709.09x = 944,450,061.76
  5. Step 5: Solve for x
    x = 944,450,061.76/14,709.09
  6. Step 6: Final answer
    x = 64,208.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.