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Finding the Third Proportional to 19,495 and 31,396

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Solution

The third proportional to 19,495 and 31,396 is: 50,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495 : 31,396 = 31,396 : x
  2. Step 2: Convert to fraction form
    19,495/31,396 = 31,396/x
  3. Step 3: Cross multiply
    19,495x = 31,396 × 31,396
  4. Step 4: Simplify right side
    19,495x = 985,708,816
  5. Step 5: Solve for x
    x = 985,708,816/19,495
  6. Step 6: Final answer
    x = 50,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.