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Finding the Third Proportional to 38,101 and 83,582

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Solution

The third proportional to 38,101 and 83,582 is: 183,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101 : 83,582 = 83,582 : x
  2. Step 2: Convert to fraction form
    38,101/83,582 = 83,582/x
  3. Step 3: Cross multiply
    38,101x = 83,582 × 83,582
  4. Step 4: Simplify right side
    38,101x = 6,985,950,724
  5. Step 5: Solve for x
    x = 6,985,950,724/38,101
  6. Step 6: Final answer
    x = 183,353.47

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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.