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Finding the Third Proportional to 9,743.63 and 14,703.38

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Solution

The third proportional to 9,743.63 and 14,703.38 is: 22,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.63 : 14,703.38 = 14,703.38 : x
  2. Step 2: Convert to fraction form
    9,743.63/14,703.38 = 14,703.38/x
  3. Step 3: Cross multiply
    9,743.63x = 14,703.38 × 14,703.38
  4. Step 4: Simplify right side
    9,743.63x = 216,189,236.39
  5. Step 5: Solve for x
    x = 216,189,236.39/9,743.63
  6. Step 6: Final answer
    x = 22,187.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.