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Finding the Third Proportional to 26,608.50 and 31,468.50

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Solution

The third proportional to 26,608.50 and 31,468.50 is: 37,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,608.50 : 31,468.50 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    26,608.50/31,468.50 = 31,468.50/x
  3. Step 3: Cross multiply
    26,608.50x = 31,468.50 × 31,468.50
  4. Step 4: Simplify right side
    26,608.50x = 990,266,492.25
  5. Step 5: Solve for x
    x = 990,266,492.25/26,608.50
  6. Step 6: Final answer
    x = 37,216.17

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.