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Finding the Third Proportional to 35,063 and 52,958

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Solution

The third proportional to 35,063 and 52,958 is: 79,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,063 : 52,958 = 52,958 : x
  2. Step 2: Convert to fraction form
    35,063/52,958 = 52,958/x
  3. Step 3: Cross multiply
    35,063x = 52,958 × 52,958
  4. Step 4: Simplify right side
    35,063x = 2,804,549,764
  5. Step 5: Solve for x
    x = 2,804,549,764/35,063
  6. Step 6: Final answer
    x = 79,986.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.