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Finding the Third Proportional to 14,265 and 34,365

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Solution

The third proportional to 14,265 and 34,365 is: 82,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265 : 34,365 = 34,365 : x
  2. Step 2: Convert to fraction form
    14,265/34,365 = 34,365/x
  3. Step 3: Cross multiply
    14,265x = 34,365 × 34,365
  4. Step 4: Simplify right side
    14,265x = 1,180,953,225
  5. Step 5: Solve for x
    x = 1,180,953,225/14,265
  6. Step 6: Final answer
    x = 82,786.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.