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Finding the Third Proportional to 12,506.91 and 19,477.97

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Solution

The third proportional to 12,506.91 and 19,477.97 is: 30,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 19,477.97 = 19,477.97 : x
  2. Step 2: Convert to fraction form
    12,506.91/19,477.97 = 19,477.97/x
  3. Step 3: Cross multiply
    12,506.91x = 19,477.97 × 19,477.97
  4. Step 4: Simplify right side
    12,506.91x = 379,391,266.63
  5. Step 5: Solve for x
    x = 379,391,266.63/12,506.91
  6. Step 6: Final answer
    x = 30,334.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.