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Finding the Third Proportional to 35,082 and 52,987

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Solution

The third proportional to 35,082 and 52,987 is: 80,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082 : 52,987 = 52,987 : x
  2. Step 2: Convert to fraction form
    35,082/52,987 = 52,987/x
  3. Step 3: Cross multiply
    35,082x = 52,987 × 52,987
  4. Step 4: Simplify right side
    35,082x = 2,807,622,169
  5. Step 5: Solve for x
    x = 2,807,622,169/35,082
  6. Step 6: Final answer
    x = 80,030.28

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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.