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Finding the Third Proportional to 35,553 and 76,289

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Solution

The third proportional to 35,553 and 76,289 is: 163,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,553 : 76,289 = 76,289 : x
  2. Step 2: Convert to fraction form
    35,553/76,289 = 76,289/x
  3. Step 3: Cross multiply
    35,553x = 76,289 × 76,289
  4. Step 4: Simplify right side
    35,553x = 5,820,011,521
  5. Step 5: Solve for x
    x = 5,820,011,521/35,553
  6. Step 6: Final answer
    x = 163,699.59

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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.