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Finding the Third Proportional to 19,086 and 46,419

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Solution

The third proportional to 19,086 and 46,419 is: 112,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 46,419 = 46,419 : x
  2. Step 2: Convert to fraction form
    19,086/46,419 = 46,419/x
  3. Step 3: Cross multiply
    19,086x = 46,419 × 46,419
  4. Step 4: Simplify right side
    19,086x = 2,154,723,561
  5. Step 5: Solve for x
    x = 2,154,723,561/19,086
  6. Step 6: Final answer
    x = 112,895.50

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.