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Finding the Third Proportional to 7,742 and 8,948

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Solution

The third proportional to 7,742 and 8,948 is: 10,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742 : 8,948 = 8,948 : x
  2. Step 2: Convert to fraction form
    7,742/8,948 = 8,948/x
  3. Step 3: Cross multiply
    7,742x = 8,948 × 8,948
  4. Step 4: Simplify right side
    7,742x = 80,066,704
  5. Step 5: Solve for x
    x = 80,066,704/7,742
  6. Step 6: Final answer
    x = 10,341.86

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.