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Finding the Third Proportional to 19,624 and 38,258

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Solution

The third proportional to 19,624 and 38,258 is: 74,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624 : 38,258 = 38,258 : x
  2. Step 2: Convert to fraction form
    19,624/38,258 = 38,258/x
  3. Step 3: Cross multiply
    19,624x = 38,258 × 38,258
  4. Step 4: Simplify right side
    19,624x = 1,463,674,564
  5. Step 5: Solve for x
    x = 1,463,674,564/19,624
  6. Step 6: Final answer
    x = 74,585.94

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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.