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Finding the Third Proportional to 23,571 and 31,468.50

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Solution

The third proportional to 23,571 and 31,468.50 is: 42,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571 : 31,468.50 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    23,571/31,468.50 = 31,468.50/x
  3. Step 3: Cross multiply
    23,571x = 31,468.50 × 31,468.50
  4. Step 4: Simplify right side
    23,571x = 990,266,492.25
  5. Step 5: Solve for x
    x = 990,266,492.25/23,571
  6. Step 6: Final answer
    x = 42,012.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.