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Finding the Third Proportional to 33,989.63 and 48,767.06

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Solution

The third proportional to 33,989.63 and 48,767.06 is: 69,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.63 : 48,767.06 = 48,767.06 : x
  2. Step 2: Convert to fraction form
    33,989.63/48,767.06 = 48,767.06/x
  3. Step 3: Cross multiply
    33,989.63x = 48,767.06 × 48,767.06
  4. Step 4: Simplify right side
    33,989.63x = 2,378,226,384.88
  5. Step 5: Solve for x
    x = 2,378,226,384.88/33,989.63
  6. Step 6: Final answer
    x = 69,969.19

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.