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Finding the Third Proportional to 14,835 and 35,018

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Solution

The third proportional to 14,835 and 35,018 is: 82,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835 : 35,018 = 35,018 : x
  2. Step 2: Convert to fraction form
    14,835/35,018 = 35,018/x
  3. Step 3: Cross multiply
    14,835x = 35,018 × 35,018
  4. Step 4: Simplify right side
    14,835x = 1,226,260,324
  5. Step 5: Solve for x
    x = 1,226,260,324/14,835
  6. Step 6: Final answer
    x = 82,659.95

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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.