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Finding the Third Proportional to 19,415 and 42,003

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Solution

The third proportional to 19,415 and 42,003 is: 90,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415 : 42,003 = 42,003 : x
  2. Step 2: Convert to fraction form
    19,415/42,003 = 42,003/x
  3. Step 3: Cross multiply
    19,415x = 42,003 × 42,003
  4. Step 4: Simplify right side
    19,415x = 1,764,252,009
  5. Step 5: Solve for x
    x = 1,764,252,009/19,415
  6. Step 6: Final answer
    x = 90,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.