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Finding the Third Proportional to 19,564 and 38,148

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Solution

The third proportional to 19,564 and 38,148 is: 74,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564 : 38,148 = 38,148 : x
  2. Step 2: Convert to fraction form
    19,564/38,148 = 38,148/x
  3. Step 3: Cross multiply
    19,564x = 38,148 × 38,148
  4. Step 4: Simplify right side
    19,564x = 1,455,269,904
  5. Step 5: Solve for x
    x = 1,455,269,904/19,564
  6. Step 6: Final answer
    x = 74,385.09

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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.