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Finding the Third Proportional to 5,184 and 7,412

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Solution

The third proportional to 5,184 and 7,412 is: 10,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 7,412 = 7,412 : x
  2. Step 2: Convert to fraction form
    5,184/7,412 = 7,412/x
  3. Step 3: Cross multiply
    5,184x = 7,412 × 7,412
  4. Step 4: Simplify right side
    5,184x = 54,937,744
  5. Step 5: Solve for x
    x = 54,937,744/5,184
  6. Step 6: Final answer
    x = 10,597.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.