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Finding the Third Proportional to 8,370 and 18,345.94

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Solution

The third proportional to 8,370 and 18,345.94 is: 40,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 18,345.94 = 18,345.94 : x
  2. Step 2: Convert to fraction form
    8,370/18,345.94 = 18,345.94/x
  3. Step 3: Cross multiply
    8,370x = 18,345.94 × 18,345.94
  4. Step 4: Simplify right side
    8,370x = 336,573,422.75
  5. Step 5: Solve for x
    x = 336,573,422.75/8,370
  6. Step 6: Final answer
    x = 40,211.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.