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Finding the Third Proportional to 38,536 and 61,036

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Solution

The third proportional to 38,536 and 61,036 is: 96,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536 : 61,036 = 61,036 : x
  2. Step 2: Convert to fraction form
    38,536/61,036 = 61,036/x
  3. Step 3: Cross multiply
    38,536x = 61,036 × 61,036
  4. Step 4: Simplify right side
    38,536x = 3,725,393,296
  5. Step 5: Solve for x
    x = 3,725,393,296/38,536
  6. Step 6: Final answer
    x = 96,673.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.