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Finding the Third Proportional to 21,424 and 46,316

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Solution

The third proportional to 21,424 and 46,316 is: 100,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424 : 46,316 = 46,316 : x
  2. Step 2: Convert to fraction form
    21,424/46,316 = 46,316/x
  3. Step 3: Cross multiply
    21,424x = 46,316 × 46,316
  4. Step 4: Simplify right side
    21,424x = 2,145,171,856
  5. Step 5: Solve for x
    x = 2,145,171,856/21,424
  6. Step 6: Final answer
    x = 100,129.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.