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Finding the Third Proportional to 5,966.72 and 8,948.81

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Solution

The third proportional to 5,966.72 and 8,948.81 is: 13,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.72 : 8,948.81 = 8,948.81 : x
  2. Step 2: Convert to fraction form
    5,966.72/8,948.81 = 8,948.81/x
  3. Step 3: Cross multiply
    5,966.72x = 8,948.81 × 8,948.81
  4. Step 4: Simplify right side
    5,966.72x = 80,081,245.16
  5. Step 5: Solve for x
    x = 80,081,245.16/5,966.72
  6. Step 6: Final answer
    x = 13,421.32

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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.