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Finding the Third Proportional to 38,534 and 83,476

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Solution

The third proportional to 38,534 and 83,476 is: 180,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534 : 83,476 = 83,476 : x
  2. Step 2: Convert to fraction form
    38,534/83,476 = 83,476/x
  3. Step 3: Cross multiply
    38,534x = 83,476 × 83,476
  4. Step 4: Simplify right side
    38,534x = 6,968,242,576
  5. Step 5: Solve for x
    x = 6,968,242,576/38,534
  6. Step 6: Final answer
    x = 180,833.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.