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Finding the Third Proportional to 12,864.50 and 19,327.13

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Solution

The third proportional to 12,864.50 and 19,327.13 is: 29,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.50 : 19,327.13 = 19,327.13 : x
  2. Step 2: Convert to fraction form
    12,864.50/19,327.13 = 19,327.13/x
  3. Step 3: Cross multiply
    12,864.50x = 19,327.13 × 19,327.13
  4. Step 4: Simplify right side
    12,864.50x = 373,537,760.77
  5. Step 5: Solve for x
    x = 373,537,760.77/12,864.50
  6. Step 6: Final answer
    x = 29,036.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.