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Finding the Third Proportional to 14,701.50 and 22,770.38

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Solution

The third proportional to 14,701.50 and 22,770.38 is: 35,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.50 : 22,770.38 = 22,770.38 : x
  2. Step 2: Convert to fraction form
    14,701.50/22,770.38 = 22,770.38/x
  3. Step 3: Cross multiply
    14,701.50x = 22,770.38 × 22,770.38
  4. Step 4: Simplify right side
    14,701.50x = 518,489,977.64
  5. Step 5: Solve for x
    x = 518,489,977.64/14,701.50
  6. Step 6: Final answer
    x = 35,267.83

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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.