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Finding the Third Proportional to 31,557.75 and 68,036.25

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Solution

The third proportional to 31,557.75 and 68,036.25 is: 146,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.75 : 68,036.25 = 68,036.25 : x
  2. Step 2: Convert to fraction form
    31,557.75/68,036.25 = 68,036.25/x
  3. Step 3: Cross multiply
    31,557.75x = 68,036.25 × 68,036.25
  4. Step 4: Simplify right side
    31,557.75x = 4,628,931,314.06
  5. Step 5: Solve for x
    x = 4,628,931,314.06/31,557.75
  6. Step 6: Final answer
    x = 146,681.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.