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Finding the Third Proportional to 35,674.50 and 54,853

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Solution

The third proportional to 35,674.50 and 54,853 is: 84,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.50 : 54,853 = 54,853 : x
  2. Step 2: Convert to fraction form
    35,674.50/54,853 = 54,853/x
  3. Step 3: Cross multiply
    35,674.50x = 54,853 × 54,853
  4. Step 4: Simplify right side
    35,674.50x = 3,008,851,609
  5. Step 5: Solve for x
    x = 3,008,851,609/35,674.50
  6. Step 6: Final answer
    x = 84,341.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.