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Finding the Third Proportional to 40,294 and 61,856

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Solution

The third proportional to 40,294 and 61,856 is: 94,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,294 : 61,856 = 61,856 : x
  2. Step 2: Convert to fraction form
    40,294/61,856 = 61,856/x
  3. Step 3: Cross multiply
    40,294x = 61,856 × 61,856
  4. Step 4: Simplify right side
    40,294x = 3,826,164,736
  5. Step 5: Solve for x
    x = 3,826,164,736/40,294
  6. Step 6: Final answer
    x = 94,956.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.