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Finding the Third Proportional to 3,416 and 7,316

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Solution

The third proportional to 3,416 and 7,316 is: 15,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416 : 7,316 = 7,316 : x
  2. Step 2: Convert to fraction form
    3,416/7,316 = 7,316/x
  3. Step 3: Cross multiply
    3,416x = 7,316 × 7,316
  4. Step 4: Simplify right side
    3,416x = 53,523,856
  5. Step 5: Solve for x
    x = 53,523,856/3,416
  6. Step 6: Final answer
    x = 15,668.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.