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Finding the Third Proportional to 7,459.88 and 10,096.31

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Solution

The third proportional to 7,459.88 and 10,096.31 is: 13,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.88 : 10,096.31 = 10,096.31 : x
  2. Step 2: Convert to fraction form
    7,459.88/10,096.31 = 10,096.31/x
  3. Step 3: Cross multiply
    7,459.88x = 10,096.31 × 10,096.31
  4. Step 4: Simplify right side
    7,459.88x = 101,935,526.10
  5. Step 5: Solve for x
    x = 101,935,526.10/7,459.88
  6. Step 6: Final answer
    x = 13,664.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.