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Finding the Third Proportional to 31,569.75 and 69,086.25

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Solution

The third proportional to 31,569.75 and 69,086.25 is: 151,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.75 : 69,086.25 = 69,086.25 : x
  2. Step 2: Convert to fraction form
    31,569.75/69,086.25 = 69,086.25/x
  3. Step 3: Cross multiply
    31,569.75x = 69,086.25 × 69,086.25
  4. Step 4: Simplify right side
    31,569.75x = 4,772,909,939.06
  5. Step 5: Solve for x
    x = 4,772,909,939.06/31,569.75
  6. Step 6: Final answer
    x = 151,186.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.