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Finding the Third Proportional to 39,497.63 and 86,072.63

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Solution

The third proportional to 39,497.63 and 86,072.63 is: 187,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,497.63 : 86,072.63 = 86,072.63 : x
  2. Step 2: Convert to fraction form
    39,497.63/86,072.63 = 86,072.63/x
  3. Step 3: Cross multiply
    39,497.63x = 86,072.63 × 86,072.63
  4. Step 4: Simplify right side
    39,497.63x = 7,408,496,774.39
  5. Step 5: Solve for x
    x = 7,408,496,774.39/39,497.63
  6. Step 6: Final answer
    x = 187,568.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.