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Finding the Third Proportional to 24,082.88 and 31,955.06

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Solution

The third proportional to 24,082.88 and 31,955.06 is: 42,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.88 : 31,955.06 = 31,955.06 : x
  2. Step 2: Convert to fraction form
    24,082.88/31,955.06 = 31,955.06/x
  3. Step 3: Cross multiply
    24,082.88x = 31,955.06 × 31,955.06
  4. Step 4: Simplify right side
    24,082.88x = 1,021,126,019.38
  5. Step 5: Solve for x
    x = 1,021,126,019.38/24,082.88
  6. Step 6: Final answer
    x = 42,400.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.