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Finding the Third Proportional to 13,235.91 and 19,432.41

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Solution

The third proportional to 13,235.91 and 19,432.41 is: 28,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.91 : 19,432.41 = 19,432.41 : x
  2. Step 2: Convert to fraction form
    13,235.91/19,432.41 = 19,432.41/x
  3. Step 3: Cross multiply
    13,235.91x = 19,432.41 × 19,432.41
  4. Step 4: Simplify right side
    13,235.91x = 377,618,412.67
  5. Step 5: Solve for x
    x = 377,618,412.67/13,235.91
  6. Step 6: Final answer
    x = 28,529.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.