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Finding the Third Proportional to 40,788 and 64,894

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Solution

The third proportional to 40,788 and 64,894 is: 103,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,788 : 64,894 = 64,894 : x
  2. Step 2: Convert to fraction form
    40,788/64,894 = 64,894/x
  3. Step 3: Cross multiply
    40,788x = 64,894 × 64,894
  4. Step 4: Simplify right side
    40,788x = 4,211,231,236
  5. Step 5: Solve for x
    x = 4,211,231,236/40,788
  6. Step 6: Final answer
    x = 103,246.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.