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Finding the Third Proportional to 38,454 and 84,196

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Solution

The third proportional to 38,454 and 84,196 is: 184,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 84,196 = 84,196 : x
  2. Step 2: Convert to fraction form
    38,454/84,196 = 84,196/x
  3. Step 3: Cross multiply
    38,454x = 84,196 × 84,196
  4. Step 4: Simplify right side
    38,454x = 7,088,966,416
  5. Step 5: Solve for x
    x = 7,088,966,416/38,454
  6. Step 6: Final answer
    x = 184,349.26

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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.