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Finding the Third Proportional to 19,373 and 40,921

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Solution

The third proportional to 19,373 and 40,921 is: 86,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,373 : 40,921 = 40,921 : x
  2. Step 2: Convert to fraction form
    19,373/40,921 = 40,921/x
  3. Step 3: Cross multiply
    19,373x = 40,921 × 40,921
  4. Step 4: Simplify right side
    19,373x = 1,674,528,241
  5. Step 5: Solve for x
    x = 1,674,528,241/19,373
  6. Step 6: Final answer
    x = 86,436.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.