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Finding the Third Proportional to 12,013.31 and 19,130.34

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Solution

The third proportional to 12,013.31 and 19,130.34 is: 30,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.31 : 19,130.34 = 19,130.34 : x
  2. Step 2: Convert to fraction form
    12,013.31/19,130.34 = 19,130.34/x
  3. Step 3: Cross multiply
    12,013.31x = 19,130.34 × 19,130.34
  4. Step 4: Simplify right side
    12,013.31x = 365,970,051.99
  5. Step 5: Solve for x
    x = 365,970,051.99/12,013.31
  6. Step 6: Final answer
    x = 30,463.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.