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Finding the Third Proportional to 14,842 and 35,037

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Solution

The third proportional to 14,842 and 35,037 is: 82,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 35,037 = 35,037 : x
  2. Step 2: Convert to fraction form
    14,842/35,037 = 35,037/x
  3. Step 3: Cross multiply
    14,842x = 35,037 × 35,037
  4. Step 4: Simplify right side
    14,842x = 1,227,591,369
  5. Step 5: Solve for x
    x = 1,227,591,369/14,842
  6. Step 6: Final answer
    x = 82,710.64

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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.