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Finding the Third Proportional to 19,571.63 and 29,345.63

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Solution

The third proportional to 19,571.63 and 29,345.63 is: 44,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.63 : 29,345.63 = 29,345.63 : x
  2. Step 2: Convert to fraction form
    19,571.63/29,345.63 = 29,345.63/x
  3. Step 3: Cross multiply
    19,571.63x = 29,345.63 × 29,345.63
  4. Step 4: Simplify right side
    19,571.63x = 861,165,706.64
  5. Step 5: Solve for x
    x = 861,165,706.64/19,571.63
  6. Step 6: Final answer
    x = 44,000.73

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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.