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Finding the Third Proportional to 31,242.75 and 67,406.25

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Solution

The third proportional to 31,242.75 and 67,406.25 is: 145,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.75 : 67,406.25 = 67,406.25 : x
  2. Step 2: Convert to fraction form
    31,242.75/67,406.25 = 67,406.25/x
  3. Step 3: Cross multiply
    31,242.75x = 67,406.25 × 67,406.25
  4. Step 4: Simplify right side
    31,242.75x = 4,543,602,539.06
  5. Step 5: Solve for x
    x = 4,543,602,539.06/31,242.75
  6. Step 6: Final answer
    x = 145,429.02

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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.