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Finding the Third Proportional to 14,538 and 19,455

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Solution

The third proportional to 14,538 and 19,455 is: 26,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538 : 19,455 = 19,455 : x
  2. Step 2: Convert to fraction form
    14,538/19,455 = 19,455/x
  3. Step 3: Cross multiply
    14,538x = 19,455 × 19,455
  4. Step 4: Simplify right side
    14,538x = 378,497,025
  5. Step 5: Solve for x
    x = 378,497,025/14,538
  6. Step 6: Final answer
    x = 26,035.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.