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Finding the Third Proportional to 35,031 and 76,875

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Solution

The third proportional to 35,031 and 76,875 is: 168,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031 : 76,875 = 76,875 : x
  2. Step 2: Convert to fraction form
    35,031/76,875 = 76,875/x
  3. Step 3: Cross multiply
    35,031x = 76,875 × 76,875
  4. Step 4: Simplify right side
    35,031x = 5,909,765,625
  5. Step 5: Solve for x
    x = 5,909,765,625/35,031
  6. Step 6: Final answer
    x = 168,701.03

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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.