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Finding the Third Proportional to 35,026 and 74,972

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Solution

The third proportional to 35,026 and 74,972 is: 160,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,026 : 74,972 = 74,972 : x
  2. Step 2: Convert to fraction form
    35,026/74,972 = 74,972/x
  3. Step 3: Cross multiply
    35,026x = 74,972 × 74,972
  4. Step 4: Simplify right side
    35,026x = 5,620,800,784
  5. Step 5: Solve for x
    x = 5,620,800,784/35,026
  6. Step 6: Final answer
    x = 160,475.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.