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Finding the Third Proportional to 19,463 and 40,310

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Solution

The third proportional to 19,463 and 40,310 is: 83,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,463 : 40,310 = 40,310 : x
  2. Step 2: Convert to fraction form
    19,463/40,310 = 40,310/x
  3. Step 3: Cross multiply
    19,463x = 40,310 × 40,310
  4. Step 4: Simplify right side
    19,463x = 1,624,896,100
  5. Step 5: Solve for x
    x = 1,624,896,100/19,463
  6. Step 6: Final answer
    x = 83,486.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.