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Finding the Third Proportional to 39,546 and 86,472

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Solution

The third proportional to 39,546 and 86,472 is: 189,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546 : 86,472 = 86,472 : x
  2. Step 2: Convert to fraction form
    39,546/86,472 = 86,472/x
  3. Step 3: Cross multiply
    39,546x = 86,472 × 86,472
  4. Step 4: Simplify right side
    39,546x = 7,477,406,784
  5. Step 5: Solve for x
    x = 7,477,406,784/39,546
  6. Step 6: Final answer
    x = 189,081.24

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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.