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Finding the Third Proportional to 40,762.69 and 64,427.06

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Solution

The third proportional to 40,762.69 and 64,427.06 is: 101,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,762.69 : 64,427.06 = 64,427.06 : x
  2. Step 2: Convert to fraction form
    40,762.69/64,427.06 = 64,427.06/x
  3. Step 3: Cross multiply
    40,762.69x = 64,427.06 × 64,427.06
  4. Step 4: Simplify right side
    40,762.69x = 4,150,846,382.38
  5. Step 5: Solve for x
    x = 4,150,846,382.38/40,762.69
  6. Step 6: Final answer
    x = 101,829.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.