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Finding the Third Proportional to 41,476 and 64,806

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Solution

The third proportional to 41,476 and 64,806 is: 101,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,476 : 64,806 = 64,806 : x
  2. Step 2: Convert to fraction form
    41,476/64,806 = 64,806/x
  3. Step 3: Cross multiply
    41,476x = 64,806 × 64,806
  4. Step 4: Simplify right side
    41,476x = 4,199,817,636
  5. Step 5: Solve for x
    x = 4,199,817,636/41,476
  6. Step 6: Final answer
    x = 101,258.98

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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.