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Finding the Third Proportional to 14,645 and 22,715

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Solution

The third proportional to 14,645 and 22,715 is: 35,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645 : 22,715 = 22,715 : x
  2. Step 2: Convert to fraction form
    14,645/22,715 = 22,715/x
  3. Step 3: Cross multiply
    14,645x = 22,715 × 22,715
  4. Step 4: Simplify right side
    14,645x = 515,971,225
  5. Step 5: Solve for x
    x = 515,971,225/14,645
  6. Step 6: Final answer
    x = 35,231.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.