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Finding the Third Proportional to 9,902.25 and 24,421.50

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Solution

The third proportional to 9,902.25 and 24,421.50 is: 60,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.25 : 24,421.50 = 24,421.50 : x
  2. Step 2: Convert to fraction form
    9,902.25/24,421.50 = 24,421.50/x
  3. Step 3: Cross multiply
    9,902.25x = 24,421.50 × 24,421.50
  4. Step 4: Simplify right side
    9,902.25x = 596,409,662.25
  5. Step 5: Solve for x
    x = 596,409,662.25/9,902.25
  6. Step 6: Final answer
    x = 60,229.71

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.