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Finding the Third Proportional to 19,098 and 45,729

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Solution

The third proportional to 19,098 and 45,729 is: 109,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 45,729 = 45,729 : x
  2. Step 2: Convert to fraction form
    19,098/45,729 = 45,729/x
  3. Step 3: Cross multiply
    19,098x = 45,729 × 45,729
  4. Step 4: Simplify right side
    19,098x = 2,091,141,441
  5. Step 5: Solve for x
    x = 2,091,141,441/19,098
  6. Step 6: Final answer
    x = 109,495.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.