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Finding the Third Proportional to 16,980 and 40,130

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Solution

The third proportional to 16,980 and 40,130 is: 94,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980 : 40,130 = 40,130 : x
  2. Step 2: Convert to fraction form
    16,980/40,130 = 40,130/x
  3. Step 3: Cross multiply
    16,980x = 40,130 × 40,130
  4. Step 4: Simplify right side
    16,980x = 1,610,416,900
  5. Step 5: Solve for x
    x = 1,610,416,900/16,980
  6. Step 6: Final answer
    x = 94,841.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.