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Finding the Third Proportional to 30,448 and 66,415

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Solution

The third proportional to 30,448 and 66,415 is: 144,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448 : 66,415 = 66,415 : x
  2. Step 2: Convert to fraction form
    30,448/66,415 = 66,415/x
  3. Step 3: Cross multiply
    30,448x = 66,415 × 66,415
  4. Step 4: Simplify right side
    30,448x = 4,410,952,225
  5. Step 5: Solve for x
    x = 4,410,952,225/30,448
  6. Step 6: Final answer
    x = 144,868.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.