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Finding the Third Proportional to 42,653.25 and 66,904.31

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Solution

The third proportional to 42,653.25 and 66,904.31 is: 104,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,653.25 : 66,904.31 = 66,904.31 : x
  2. Step 2: Convert to fraction form
    42,653.25/66,904.31 = 66,904.31/x
  3. Step 3: Cross multiply
    42,653.25x = 66,904.31 × 66,904.31
  4. Step 4: Simplify right side
    42,653.25x = 4,476,187,031.10
  5. Step 5: Solve for x
    x = 4,476,187,031.10/42,653.25
  6. Step 6: Final answer
    x = 104,943.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.