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Finding the Third Proportional to 19,292 and 41,786

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Solution

The third proportional to 19,292 and 41,786 is: 90,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292 : 41,786 = 41,786 : x
  2. Step 2: Convert to fraction form
    19,292/41,786 = 41,786/x
  3. Step 3: Cross multiply
    19,292x = 41,786 × 41,786
  4. Step 4: Simplify right side
    19,292x = 1,746,069,796
  5. Step 5: Solve for x
    x = 1,746,069,796/19,292
  6. Step 6: Final answer
    x = 90,507.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.