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Finding the Third Proportional to 19,310 and 41,426

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Solution

The third proportional to 19,310 and 41,426 is: 88,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310 : 41,426 = 41,426 : x
  2. Step 2: Convert to fraction form
    19,310/41,426 = 41,426/x
  3. Step 3: Cross multiply
    19,310x = 41,426 × 41,426
  4. Step 4: Simplify right side
    19,310x = 1,716,113,476
  5. Step 5: Solve for x
    x = 1,716,113,476/19,310
  6. Step 6: Final answer
    x = 88,871.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.