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Finding the Third Proportional to 26,308 and 56,316

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Solution

The third proportional to 26,308 and 56,316 is: 120,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308 : 56,316 = 56,316 : x
  2. Step 2: Convert to fraction form
    26,308/56,316 = 56,316/x
  3. Step 3: Cross multiply
    26,308x = 56,316 × 56,316
  4. Step 4: Simplify right side
    26,308x = 3,171,491,856
  5. Step 5: Solve for x
    x = 3,171,491,856/26,308
  6. Step 6: Final answer
    x = 120,552.37

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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.