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Finding the Third Proportional to 35,240 and 75,853

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Solution

The third proportional to 35,240 and 75,853 is: 163,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,240 : 75,853 = 75,853 : x
  2. Step 2: Convert to fraction form
    35,240/75,853 = 75,853/x
  3. Step 3: Cross multiply
    35,240x = 75,853 × 75,853
  4. Step 4: Simplify right side
    35,240x = 5,753,677,609
  5. Step 5: Solve for x
    x = 5,753,677,609/35,240
  6. Step 6: Final answer
    x = 163,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.