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Finding the Third Proportional to 18,712 and 29,194

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Solution

The third proportional to 18,712 and 29,194 is: 45,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 29,194 = 29,194 : x
  2. Step 2: Convert to fraction form
    18,712/29,194 = 29,194/x
  3. Step 3: Cross multiply
    18,712x = 29,194 × 29,194
  4. Step 4: Simplify right side
    18,712x = 852,289,636
  5. Step 5: Solve for x
    x = 852,289,636/18,712
  6. Step 6: Final answer
    x = 45,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.