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Finding the Third Proportional to 12,946.71 and 19,992.45

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Solution

The third proportional to 12,946.71 and 19,992.45 is: 30,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.71 : 19,992.45 = 19,992.45 : x
  2. Step 2: Convert to fraction form
    12,946.71/19,992.45 = 19,992.45/x
  3. Step 3: Cross multiply
    12,946.71x = 19,992.45 × 19,992.45
  4. Step 4: Simplify right side
    12,946.71x = 399,697,869.57
  5. Step 5: Solve for x
    x = 399,697,869.57/12,946.71
  6. Step 6: Final answer
    x = 30,872.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.