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Finding the Third Proportional to 38,480 and 84,014

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Solution

The third proportional to 38,480 and 84,014 is: 183,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480 : 84,014 = 84,014 : x
  2. Step 2: Convert to fraction form
    38,480/84,014 = 84,014/x
  3. Step 3: Cross multiply
    38,480x = 84,014 × 84,014
  4. Step 4: Simplify right side
    38,480x = 7,058,352,196
  5. Step 5: Solve for x
    x = 7,058,352,196/38,480
  6. Step 6: Final answer
    x = 183,429.11

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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.