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Finding the Third Proportional to 35,810 and 52,419

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Solution

The third proportional to 35,810 and 52,419 is: 76,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,810 : 52,419 = 52,419 : x
  2. Step 2: Convert to fraction form
    35,810/52,419 = 52,419/x
  3. Step 3: Cross multiply
    35,810x = 52,419 × 52,419
  4. Step 4: Simplify right side
    35,810x = 2,747,751,561
  5. Step 5: Solve for x
    x = 2,747,751,561/35,810
  6. Step 6: Final answer
    x = 76,731.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.