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Finding the Third Proportional to 35,415 and 49,511.25

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Solution

The third proportional to 35,415 and 49,511.25 is: 69,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415 : 49,511.25 = 49,511.25 : x
  2. Step 2: Convert to fraction form
    35,415/49,511.25 = 49,511.25/x
  3. Step 3: Cross multiply
    35,415x = 49,511.25 × 49,511.25
  4. Step 4: Simplify right side
    35,415x = 2,451,363,876.56
  5. Step 5: Solve for x
    x = 2,451,363,876.56/35,415
  6. Step 6: Final answer
    x = 69,218.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.