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Finding the Third Proportional to 31,637.25 and 46,969.88

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Solution

The third proportional to 31,637.25 and 46,969.88 is: 69,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.25 : 46,969.88 = 46,969.88 : x
  2. Step 2: Convert to fraction form
    31,637.25/46,969.88 = 46,969.88/x
  3. Step 3: Cross multiply
    31,637.25x = 46,969.88 × 46,969.88
  4. Step 4: Simplify right side
    31,637.25x = 2,206,169,157.52
  5. Step 5: Solve for x
    x = 2,206,169,157.52/31,637.25
  6. Step 6: Final answer
    x = 69,733.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.