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Finding the Third Proportional to 39,893 and 86,434.75

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Solution

The third proportional to 39,893 and 86,434.75 is: 187,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,893 : 86,434.75 = 86,434.75 : x
  2. Step 2: Convert to fraction form
    39,893/86,434.75 = 86,434.75/x
  3. Step 3: Cross multiply
    39,893x = 86,434.75 × 86,434.75
  4. Step 4: Simplify right side
    39,893x = 7,470,966,007.56
  5. Step 5: Solve for x
    x = 7,470,966,007.56/39,893
  6. Step 6: Final answer
    x = 187,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.