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Finding the Third Proportional to 7,122 and 7,746

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Solution

The third proportional to 7,122 and 7,746 is: 8,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122 : 7,746 = 7,746 : x
  2. Step 2: Convert to fraction form
    7,122/7,746 = 7,746/x
  3. Step 3: Cross multiply
    7,122x = 7,746 × 7,746
  4. Step 4: Simplify right side
    7,122x = 60,000,516
  5. Step 5: Solve for x
    x = 60,000,516/7,122
  6. Step 6: Final answer
    x = 8,424.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.