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Finding the Third Proportional to 38,504 and 84,056

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Solution

The third proportional to 38,504 and 84,056 is: 183,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 84,056 = 84,056 : x
  2. Step 2: Convert to fraction form
    38,504/84,056 = 84,056/x
  3. Step 3: Cross multiply
    38,504x = 84,056 × 84,056
  4. Step 4: Simplify right side
    38,504x = 7,065,411,136
  5. Step 5: Solve for x
    x = 7,065,411,136/38,504
  6. Step 6: Final answer
    x = 183,498.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.