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Finding the Third Proportional to 35,862 and 47,899

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Solution

The third proportional to 35,862 and 47,899 is: 63,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 47,899 = 47,899 : x
  2. Step 2: Convert to fraction form
    35,862/47,899 = 47,899/x
  3. Step 3: Cross multiply
    35,862x = 47,899 × 47,899
  4. Step 4: Simplify right side
    35,862x = 2,294,314,201
  5. Step 5: Solve for x
    x = 2,294,314,201/35,862
  6. Step 6: Final answer
    x = 63,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.