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Finding the Third Proportional to 35,982 and 53,001

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Solution

The third proportional to 35,982 and 53,001 is: 78,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 53,001 = 53,001 : x
  2. Step 2: Convert to fraction form
    35,982/53,001 = 53,001/x
  3. Step 3: Cross multiply
    35,982x = 53,001 × 53,001
  4. Step 4: Simplify right side
    35,982x = 2,809,106,001
  5. Step 5: Solve for x
    x = 2,809,106,001/35,982
  6. Step 6: Final answer
    x = 78,069.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.