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Finding the Third Proportional to 7,747 and 10,440

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Solution

The third proportional to 7,747 and 10,440 is: 14,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747 : 10,440 = 10,440 : x
  2. Step 2: Convert to fraction form
    7,747/10,440 = 10,440/x
  3. Step 3: Cross multiply
    7,747x = 10,440 × 10,440
  4. Step 4: Simplify right side
    7,747x = 108,993,600
  5. Step 5: Solve for x
    x = 108,993,600/7,747
  6. Step 6: Final answer
    x = 14,069.14

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Why These Related Problems?

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