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Finding the Third Proportional to 4,911 and 7,409

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Solution

The third proportional to 4,911 and 7,409 is: 11,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 7,409 = 7,409 : x
  2. Step 2: Convert to fraction form
    4,911/7,409 = 7,409/x
  3. Step 3: Cross multiply
    4,911x = 7,409 × 7,409
  4. Step 4: Simplify right side
    4,911x = 54,893,281
  5. Step 5: Solve for x
    x = 54,893,281/4,911
  6. Step 6: Final answer
    x = 11,177.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.