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Finding the Third Proportional to 12,566 and 27,316

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Solution

The third proportional to 12,566 and 27,316 is: 59,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566 : 27,316 = 27,316 : x
  2. Step 2: Convert to fraction form
    12,566/27,316 = 27,316/x
  3. Step 3: Cross multiply
    12,566x = 27,316 × 27,316
  4. Step 4: Simplify right side
    12,566x = 746,163,856
  5. Step 5: Solve for x
    x = 746,163,856/12,566
  6. Step 6: Final answer
    x = 59,379.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.