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Finding the Third Proportional to 38,316 and 84,084

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Solution

The third proportional to 38,316 and 84,084 is: 184,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316 : 84,084 = 84,084 : x
  2. Step 2: Convert to fraction form
    38,316/84,084 = 84,084/x
  3. Step 3: Cross multiply
    38,316x = 84,084 × 84,084
  4. Step 4: Simplify right side
    38,316x = 7,070,119,056
  5. Step 5: Solve for x
    x = 7,070,119,056/38,316
  6. Step 6: Final answer
    x = 184,521.32

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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.