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Finding the Third Proportional to 34,966.69 and 81,460.69

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Solution

The third proportional to 34,966.69 and 81,460.69 is: 189,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,966.69 : 81,460.69 = 81,460.69 : x
  2. Step 2: Convert to fraction form
    34,966.69/81,460.69 = 81,460.69/x
  3. Step 3: Cross multiply
    34,966.69x = 81,460.69 × 81,460.69
  4. Step 4: Simplify right side
    34,966.69x = 6,635,843,607.97
  5. Step 5: Solve for x
    x = 6,635,843,607.97/34,966.69
  6. Step 6: Final answer
    x = 189,776.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.