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Finding the Third Proportional to 19,664 and 40,460

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Solution

The third proportional to 19,664 and 40,460 is: 83,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 40,460 = 40,460 : x
  2. Step 2: Convert to fraction form
    19,664/40,460 = 40,460/x
  3. Step 3: Cross multiply
    19,664x = 40,460 × 40,460
  4. Step 4: Simplify right side
    19,664x = 1,637,011,600
  5. Step 5: Solve for x
    x = 1,637,011,600/19,664
  6. Step 6: Final answer
    x = 83,249.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.