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Finding the Third Proportional to 41,312 and 62,356

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Solution

The third proportional to 41,312 and 62,356 is: 94,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,312 : 62,356 = 62,356 : x
  2. Step 2: Convert to fraction form
    41,312/62,356 = 62,356/x
  3. Step 3: Cross multiply
    41,312x = 62,356 × 62,356
  4. Step 4: Simplify right side
    41,312x = 3,888,270,736
  5. Step 5: Solve for x
    x = 3,888,270,736/41,312
  6. Step 6: Final answer
    x = 94,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.