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Finding the Third Proportional to 19,254 and 42,183

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Solution

The third proportional to 19,254 and 42,183 is: 92,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 42,183 = 42,183 : x
  2. Step 2: Convert to fraction form
    19,254/42,183 = 42,183/x
  3. Step 3: Cross multiply
    19,254x = 42,183 × 42,183
  4. Step 4: Simplify right side
    19,254x = 1,779,405,489
  5. Step 5: Solve for x
    x = 1,779,405,489/19,254
  6. Step 6: Final answer
    x = 92,417.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.