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Finding the Third Proportional to 6,654.23 and 10,301.67

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Solution

The third proportional to 6,654.23 and 10,301.67 is: 15,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.23 : 10,301.67 = 10,301.67 : x
  2. Step 2: Convert to fraction form
    6,654.23/10,301.67 = 10,301.67/x
  3. Step 3: Cross multiply
    6,654.23x = 10,301.67 × 10,301.67
  4. Step 4: Simplify right side
    6,654.23x = 106,124,443.42
  5. Step 5: Solve for x
    x = 106,124,443.42/6,654.23
  6. Step 6: Final answer
    x = 15,948.41

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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.