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Finding the Third Proportional to 19,046 and 41,617

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Solution

The third proportional to 19,046 and 41,617 is: 90,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,046 : 41,617 = 41,617 : x
  2. Step 2: Convert to fraction form
    19,046/41,617 = 41,617/x
  3. Step 3: Cross multiply
    19,046x = 41,617 × 41,617
  4. Step 4: Simplify right side
    19,046x = 1,731,974,689
  5. Step 5: Solve for x
    x = 1,731,974,689/19,046
  6. Step 6: Final answer
    x = 90,936.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.