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Finding the Third Proportional to 31,954.50 and 75,988.13

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Solution

The third proportional to 31,954.50 and 75,988.13 is: 180,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.50 : 75,988.13 = 75,988.13 : x
  2. Step 2: Convert to fraction form
    31,954.50/75,988.13 = 75,988.13/x
  3. Step 3: Cross multiply
    31,954.50x = 75,988.13 × 75,988.13
  4. Step 4: Simplify right side
    31,954.50x = 5,774,195,141.02
  5. Step 5: Solve for x
    x = 5,774,195,141.02/31,954.50
  6. Step 6: Final answer
    x = 180,700.53

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.