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Finding the Third Proportional to 19,254 and 45,882

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Solution

The third proportional to 19,254 and 45,882 is: 109,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 45,882 = 45,882 : x
  2. Step 2: Convert to fraction form
    19,254/45,882 = 45,882/x
  3. Step 3: Cross multiply
    19,254x = 45,882 × 45,882
  4. Step 4: Simplify right side
    19,254x = 2,105,157,924
  5. Step 5: Solve for x
    x = 2,105,157,924/19,254
  6. Step 6: Final answer
    x = 109,336.13

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.