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Finding the Third Proportional to 41,968.75 and 63,358

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Solution

The third proportional to 41,968.75 and 63,358 is: 95,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,968.75 : 63,358 = 63,358 : x
  2. Step 2: Convert to fraction form
    41,968.75/63,358 = 63,358/x
  3. Step 3: Cross multiply
    41,968.75x = 63,358 × 63,358
  4. Step 4: Simplify right side
    41,968.75x = 4,014,236,164
  5. Step 5: Solve for x
    x = 4,014,236,164/41,968.75
  6. Step 6: Final answer
    x = 95,648.22

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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.