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Finding the Third Proportional to 9,495.25 and 14,740.63

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Solution

The third proportional to 9,495.25 and 14,740.63 is: 22,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.25 : 14,740.63 = 14,740.63 : x
  2. Step 2: Convert to fraction form
    9,495.25/14,740.63 = 14,740.63/x
  3. Step 3: Cross multiply
    9,495.25x = 14,740.63 × 14,740.63
  4. Step 4: Simplify right side
    9,495.25x = 217,286,025.39
  5. Step 5: Solve for x
    x = 217,286,025.39/9,495.25
  6. Step 6: Final answer
    x = 22,883.66

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