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Finding the Third Proportional to 14,310 and 33,435

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Solution

The third proportional to 14,310 and 33,435 is: 78,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 33,435 = 33,435 : x
  2. Step 2: Convert to fraction form
    14,310/33,435 = 33,435/x
  3. Step 3: Cross multiply
    14,310x = 33,435 × 33,435
  4. Step 4: Simplify right side
    14,310x = 1,117,899,225
  5. Step 5: Solve for x
    x = 1,117,899,225/14,310
  6. Step 6: Final answer
    x = 78,120.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.