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Finding the Third Proportional to 16,053 and 17,442.75

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Solution

The third proportional to 16,053 and 17,442.75 is: 18,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053 : 17,442.75 = 17,442.75 : x
  2. Step 2: Convert to fraction form
    16,053/17,442.75 = 17,442.75/x
  3. Step 3: Cross multiply
    16,053x = 17,442.75 × 17,442.75
  4. Step 4: Simplify right side
    16,053x = 304,249,527.56
  5. Step 5: Solve for x
    x = 304,249,527.56/16,053
  6. Step 6: Final answer
    x = 18,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.