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Finding the Third Proportional to 30,026 and 62,158

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Solution

The third proportional to 30,026 and 62,158 is: 128,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026 : 62,158 = 62,158 : x
  2. Step 2: Convert to fraction form
    30,026/62,158 = 62,158/x
  3. Step 3: Cross multiply
    30,026x = 62,158 × 62,158
  4. Step 4: Simplify right side
    30,026x = 3,863,616,964
  5. Step 5: Solve for x
    x = 3,863,616,964/30,026
  6. Step 6: Final answer
    x = 128,675.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.