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Finding the Third Proportional to 5,416 and 7,243

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Solution

The third proportional to 5,416 and 7,243 is: 9,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 7,243 = 7,243 : x
  2. Step 2: Convert to fraction form
    5,416/7,243 = 7,243/x
  3. Step 3: Cross multiply
    5,416x = 7,243 × 7,243
  4. Step 4: Simplify right side
    5,416x = 52,461,049
  5. Step 5: Solve for x
    x = 52,461,049/5,416
  6. Step 6: Final answer
    x = 9,686.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.