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Finding the Third Proportional to 13,602.25 and 19,937.63

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Solution

The third proportional to 13,602.25 and 19,937.63 is: 29,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.25 : 19,937.63 = 19,937.63 : x
  2. Step 2: Convert to fraction form
    13,602.25/19,937.63 = 19,937.63/x
  3. Step 3: Cross multiply
    13,602.25x = 19,937.63 × 19,937.63
  4. Step 4: Simplify right side
    13,602.25x = 397,508,890.64
  5. Step 5: Solve for x
    x = 397,508,890.64/13,602.25
  6. Step 6: Final answer
    x = 29,223.76

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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.