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Finding the Third Proportional to 45,815 and 67,491

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Solution

The third proportional to 45,815 and 67,491 is: 99,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,815 : 67,491 = 67,491 : x
  2. Step 2: Convert to fraction form
    45,815/67,491 = 67,491/x
  3. Step 3: Cross multiply
    45,815x = 67,491 × 67,491
  4. Step 4: Simplify right side
    45,815x = 4,555,035,081
  5. Step 5: Solve for x
    x = 4,555,035,081/45,815
  6. Step 6: Final answer
    x = 99,422.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.