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Finding the Third Proportional to 38,581 and 84,371

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Solution

The third proportional to 38,581 and 84,371 is: 184,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,581 : 84,371 = 84,371 : x
  2. Step 2: Convert to fraction form
    38,581/84,371 = 84,371/x
  3. Step 3: Cross multiply
    38,581x = 84,371 × 84,371
  4. Step 4: Simplify right side
    38,581x = 7,118,465,641
  5. Step 5: Solve for x
    x = 7,118,465,641/38,581
  6. Step 6: Final answer
    x = 184,507.03

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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.