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Finding the Third Proportional to 18,222.89 and 29,756.53

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Solution

The third proportional to 18,222.89 and 29,756.53 is: 48,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.89 : 29,756.53 = 29,756.53 : x
  2. Step 2: Convert to fraction form
    18,222.89/29,756.53 = 29,756.53/x
  3. Step 3: Cross multiply
    18,222.89x = 29,756.53 × 29,756.53
  4. Step 4: Simplify right side
    18,222.89x = 885,451,152.03
  5. Step 5: Solve for x
    x = 885,451,152.03/18,222.89
  6. Step 6: Final answer
    x = 48,590.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.