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Finding the Third Proportional to 38,298 and 84,047

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Solution

The third proportional to 38,298 and 84,047 is: 184,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298 : 84,047 = 84,047 : x
  2. Step 2: Convert to fraction form
    38,298/84,047 = 84,047/x
  3. Step 3: Cross multiply
    38,298x = 84,047 × 84,047
  4. Step 4: Simplify right side
    38,298x = 7,063,898,209
  5. Step 5: Solve for x
    x = 7,063,898,209/38,298
  6. Step 6: Final answer
    x = 184,445.62

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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.