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Finding the Third Proportional to 14,405 and 33,370

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Solution

The third proportional to 14,405 and 33,370 is: 77,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405 : 33,370 = 33,370 : x
  2. Step 2: Convert to fraction form
    14,405/33,370 = 33,370/x
  3. Step 3: Cross multiply
    14,405x = 33,370 × 33,370
  4. Step 4: Simplify right side
    14,405x = 1,113,556,900
  5. Step 5: Solve for x
    x = 1,113,556,900/14,405
  6. Step 6: Final answer
    x = 77,303.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.