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Finding the Third Proportional to 41,262 and 64,358

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Solution

The third proportional to 41,262 and 64,358 is: 100,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,262 : 64,358 = 64,358 : x
  2. Step 2: Convert to fraction form
    41,262/64,358 = 64,358/x
  3. Step 3: Cross multiply
    41,262x = 64,358 × 64,358
  4. Step 4: Simplify right side
    41,262x = 4,141,952,164
  5. Step 5: Solve for x
    x = 4,141,952,164/41,262
  6. Step 6: Final answer
    x = 100,381.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.