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Finding the Third Proportional to 14,621.77 and 23,546.32

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Solution

The third proportional to 14,621.77 and 23,546.32 is: 37,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621.77 : 23,546.32 = 23,546.32 : x
  2. Step 2: Convert to fraction form
    14,621.77/23,546.32 = 23,546.32/x
  3. Step 3: Cross multiply
    14,621.77x = 23,546.32 × 23,546.32
  4. Step 4: Simplify right side
    14,621.77x = 554,429,200.26
  5. Step 5: Solve for x
    x = 554,429,200.26/14,621.77
  6. Step 6: Final answer
    x = 37,918.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.