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Finding the Third Proportional to 13,532.91 and 19,889.30

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Solution

The third proportional to 13,532.91 and 19,889.30 is: 29,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.91 : 19,889.30 = 19,889.30 : x
  2. Step 2: Convert to fraction form
    13,532.91/19,889.30 = 19,889.30/x
  3. Step 3: Cross multiply
    13,532.91x = 19,889.30 × 19,889.30
  4. Step 4: Simplify right side
    13,532.91x = 395,584,130.18
  5. Step 5: Solve for x
    x = 395,584,130.18/13,532.91
  6. Step 6: Final answer
    x = 29,231.28

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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.