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Finding the Third Proportional to 46,271.25 and 99,441

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Solution

The third proportional to 46,271.25 and 99,441 is: 213,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,271.25 : 99,441 = 99,441 : x
  2. Step 2: Convert to fraction form
    46,271.25/99,441 = 99,441/x
  3. Step 3: Cross multiply
    46,271.25x = 99,441 × 99,441
  4. Step 4: Simplify right side
    46,271.25x = 9,888,512,481
  5. Step 5: Solve for x
    x = 9,888,512,481/46,271.25
  6. Step 6: Final answer
    x = 213,707.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.