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Finding the Third Proportional to 23,328.50 and 31,428.75

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Solution

The third proportional to 23,328.50 and 31,428.75 is: 42,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328.50 : 31,428.75 = 31,428.75 : x
  2. Step 2: Convert to fraction form
    23,328.50/31,428.75 = 31,428.75/x
  3. Step 3: Cross multiply
    23,328.50x = 31,428.75 × 31,428.75
  4. Step 4: Simplify right side
    23,328.50x = 987,766,326.56
  5. Step 5: Solve for x
    x = 987,766,326.56/23,328.50
  6. Step 6: Final answer
    x = 42,341.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.