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Finding the Third Proportional to 19,544.34 and 38,116.69

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Solution

The third proportional to 19,544.34 and 38,116.69 is: 74,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544.34 : 38,116.69 = 38,116.69 : x
  2. Step 2: Convert to fraction form
    19,544.34/38,116.69 = 38,116.69/x
  3. Step 3: Cross multiply
    19,544.34x = 38,116.69 × 38,116.69
  4. Step 4: Simplify right side
    19,544.34x = 1,452,881,865.97
  5. Step 5: Solve for x
    x = 1,452,881,865.97/19,544.34
  6. Step 6: Final answer
    x = 74,337.72

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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.