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Finding the Third Proportional to 38,090 and 83,468

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Solution

The third proportional to 38,090 and 83,468 is: 182,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090 : 83,468 = 83,468 : x
  2. Step 2: Convert to fraction form
    38,090/83,468 = 83,468/x
  3. Step 3: Cross multiply
    38,090x = 83,468 × 83,468
  4. Step 4: Simplify right side
    38,090x = 6,966,907,024
  5. Step 5: Solve for x
    x = 6,966,907,024/38,090
  6. Step 6: Final answer
    x = 182,906.46

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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.