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Finding the Third Proportional to 38,564 and 84,508

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Solution

The third proportional to 38,564 and 84,508 is: 185,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564 : 84,508 = 84,508 : x
  2. Step 2: Convert to fraction form
    38,564/84,508 = 84,508/x
  3. Step 3: Cross multiply
    38,564x = 84,508 × 84,508
  4. Step 4: Simplify right side
    38,564x = 7,141,602,064
  5. Step 5: Solve for x
    x = 7,141,602,064/38,564
  6. Step 6: Final answer
    x = 185,188.31

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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.