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Finding the Third Proportional to 38,853 and 94,324.50

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Solution

The third proportional to 38,853 and 94,324.50 is: 228,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853 : 94,324.50 = 94,324.50 : x
  2. Step 2: Convert to fraction form
    38,853/94,324.50 = 94,324.50/x
  3. Step 3: Cross multiply
    38,853x = 94,324.50 × 94,324.50
  4. Step 4: Simplify right side
    38,853x = 8,897,111,300.25
  5. Step 5: Solve for x
    x = 8,897,111,300.25/38,853
  6. Step 6: Final answer
    x = 228,994.19

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.