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Finding the Third Proportional to 14,265 and 21,402

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Solution

The third proportional to 14,265 and 21,402 is: 32,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265 : 21,402 = 21,402 : x
  2. Step 2: Convert to fraction form
    14,265/21,402 = 21,402/x
  3. Step 3: Cross multiply
    14,265x = 21,402 × 21,402
  4. Step 4: Simplify right side
    14,265x = 458,045,604
  5. Step 5: Solve for x
    x = 458,045,604/14,265
  6. Step 6: Final answer
    x = 32,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.