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Finding the Third Proportional to 9,899.25 and 14,403.38

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Solution

The third proportional to 9,899.25 and 14,403.38 is: 20,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.25 : 14,403.38 = 14,403.38 : x
  2. Step 2: Convert to fraction form
    9,899.25/14,403.38 = 14,403.38/x
  3. Step 3: Cross multiply
    9,899.25x = 14,403.38 × 14,403.38
  4. Step 4: Simplify right side
    9,899.25x = 207,457,211.39
  5. Step 5: Solve for x
    x = 207,457,211.39/9,899.25
  6. Step 6: Final answer
    x = 20,956.86

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.