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Finding the Third Proportional to 6,475.50 and 10,425.38

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Solution

The third proportional to 6,475.50 and 10,425.38 is: 16,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 10,425.38 = 10,425.38 : x
  2. Step 2: Convert to fraction form
    6,475.50/10,425.38 = 10,425.38/x
  3. Step 3: Cross multiply
    6,475.50x = 10,425.38 × 10,425.38
  4. Step 4: Simplify right side
    6,475.50x = 108,688,443.89
  5. Step 5: Solve for x
    x = 108,688,443.89/6,475.50
  6. Step 6: Final answer
    x = 16,784.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.