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Finding the Third Proportional to 38,101.50 and 83,583

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Solution

The third proportional to 38,101.50 and 83,583 is: 183,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.50 : 83,583 = 83,583 : x
  2. Step 2: Convert to fraction form
    38,101.50/83,583 = 83,583/x
  3. Step 3: Cross multiply
    38,101.50x = 83,583 × 83,583
  4. Step 4: Simplify right side
    38,101.50x = 6,986,117,889
  5. Step 5: Solve for x
    x = 6,986,117,889/38,101.50
  6. Step 6: Final answer
    x = 183,355.46

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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.