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Finding the Third Proportional to 19,548 and 38,118

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Solution

The third proportional to 19,548 and 38,118 is: 74,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 38,118 = 38,118 : x
  2. Step 2: Convert to fraction form
    19,548/38,118 = 38,118/x
  3. Step 3: Cross multiply
    19,548x = 38,118 × 38,118
  4. Step 4: Simplify right side
    19,548x = 1,452,981,924
  5. Step 5: Solve for x
    x = 1,452,981,924/19,548
  6. Step 6: Final answer
    x = 74,328.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.