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Finding the Third Proportional to 6,123.73 and 9,425.11

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Solution

The third proportional to 6,123.73 and 9,425.11 is: 14,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.73 : 9,425.11 = 9,425.11 : x
  2. Step 2: Convert to fraction form
    6,123.73/9,425.11 = 9,425.11/x
  3. Step 3: Cross multiply
    6,123.73x = 9,425.11 × 9,425.11
  4. Step 4: Simplify right side
    6,123.73x = 88,832,686.73
  5. Step 5: Solve for x
    x = 88,832,686.73/6,123.73
  6. Step 6: Final answer
    x = 14,506.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.