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Finding the Third Proportional to 7,157.63 and 10,703.38

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Solution

The third proportional to 7,157.63 and 10,703.38 is: 16,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.63 : 10,703.38 = 10,703.38 : x
  2. Step 2: Convert to fraction form
    7,157.63/10,703.38 = 10,703.38/x
  3. Step 3: Cross multiply
    7,157.63x = 10,703.38 × 10,703.38
  4. Step 4: Simplify right side
    7,157.63x = 114,562,236.39
  5. Step 5: Solve for x
    x = 114,562,236.39/7,157.63
  6. Step 6: Final answer
    x = 16,005.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.