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Finding the Third Proportional to 31,415 and 68,284

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Solution

The third proportional to 31,415 and 68,284 is: 148,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415 : 68,284 = 68,284 : x
  2. Step 2: Convert to fraction form
    31,415/68,284 = 68,284/x
  3. Step 3: Cross multiply
    31,415x = 68,284 × 68,284
  4. Step 4: Simplify right side
    31,415x = 4,662,704,656
  5. Step 5: Solve for x
    x = 4,662,704,656/31,415
  6. Step 6: Final answer
    x = 148,422.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.