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Finding the Third Proportional to 19,146 and 45,840

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Solution

The third proportional to 19,146 and 45,840 is: 109,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,146 : 45,840 = 45,840 : x
  2. Step 2: Convert to fraction form
    19,146/45,840 = 45,840/x
  3. Step 3: Cross multiply
    19,146x = 45,840 × 45,840
  4. Step 4: Simplify right side
    19,146x = 2,101,305,600
  5. Step 5: Solve for x
    x = 2,101,305,600/19,146
  6. Step 6: Final answer
    x = 109,751.68

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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.