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Finding the Third Proportional to 19,448 and 41,658

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Solution

The third proportional to 19,448 and 41,658 is: 89,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448 : 41,658 = 41,658 : x
  2. Step 2: Convert to fraction form
    19,448/41,658 = 41,658/x
  3. Step 3: Cross multiply
    19,448x = 41,658 × 41,658
  4. Step 4: Simplify right side
    19,448x = 1,735,388,964
  5. Step 5: Solve for x
    x = 1,735,388,964/19,448
  6. Step 6: Final answer
    x = 89,232.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.