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Finding the Third Proportional to 38,246 and 84,056

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Solution

The third proportional to 38,246 and 84,056 is: 184,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246 : 84,056 = 84,056 : x
  2. Step 2: Convert to fraction form
    38,246/84,056 = 84,056/x
  3. Step 3: Cross multiply
    38,246x = 84,056 × 84,056
  4. Step 4: Simplify right side
    38,246x = 7,065,411,136
  5. Step 5: Solve for x
    x = 7,065,411,136/38,246
  6. Step 6: Final answer
    x = 184,735.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.