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Finding the Third Proportional to 46,449 and 67,725

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Solution

The third proportional to 46,449 and 67,725 is: 98,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,449 : 67,725 = 67,725 : x
  2. Step 2: Convert to fraction form
    46,449/67,725 = 67,725/x
  3. Step 3: Cross multiply
    46,449x = 67,725 × 67,725
  4. Step 4: Simplify right side
    46,449x = 4,586,675,625
  5. Step 5: Solve for x
    x = 4,586,675,625/46,449
  6. Step 6: Final answer
    x = 98,746.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.