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Finding the Third Proportional to 12,325.92 and 19,064.11

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Solution

The third proportional to 12,325.92 and 19,064.11 is: 29,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.92 : 19,064.11 = 19,064.11 : x
  2. Step 2: Convert to fraction form
    12,325.92/19,064.11 = 19,064.11/x
  3. Step 3: Cross multiply
    12,325.92x = 19,064.11 × 19,064.11
  4. Step 4: Simplify right side
    12,325.92x = 363,440,266.26
  5. Step 5: Solve for x
    x = 363,440,266.26/12,325.92
  6. Step 6: Final answer
    x = 29,485.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.