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Finding the Third Proportional to 38,100 and 83,588

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Solution

The third proportional to 38,100 and 83,588 is: 183,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 83,588 = 83,588 : x
  2. Step 2: Convert to fraction form
    38,100/83,588 = 83,588/x
  3. Step 3: Cross multiply
    38,100x = 83,588 × 83,588
  4. Step 4: Simplify right side
    38,100x = 6,986,953,744
  5. Step 5: Solve for x
    x = 6,986,953,744/38,100
  6. Step 6: Final answer
    x = 183,384.61

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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.