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Finding the Third Proportional to 31,203 and 42,342.75

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Solution

The third proportional to 31,203 and 42,342.75 is: 57,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 42,342.75 = 42,342.75 : x
  2. Step 2: Convert to fraction form
    31,203/42,342.75 = 42,342.75/x
  3. Step 3: Cross multiply
    31,203x = 42,342.75 × 42,342.75
  4. Step 4: Simplify right side
    31,203x = 1,792,908,477.56
  5. Step 5: Solve for x
    x = 1,792,908,477.56/31,203
  6. Step 6: Final answer
    x = 57,459.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.