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Finding the Third Proportional to 40,633 and 64,886

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Solution

The third proportional to 40,633 and 64,886 is: 103,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,633 : 64,886 = 64,886 : x
  2. Step 2: Convert to fraction form
    40,633/64,886 = 64,886/x
  3. Step 3: Cross multiply
    40,633x = 64,886 × 64,886
  4. Step 4: Simplify right side
    40,633x = 4,210,192,996
  5. Step 5: Solve for x
    x = 4,210,192,996/40,633
  6. Step 6: Final answer
    x = 103,615.12

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.