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Finding the Third Proportional to 21,955.50 and 48,178.41

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Solution

The third proportional to 21,955.50 and 48,178.41 is: 105,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.50 : 48,178.41 = 48,178.41 : x
  2. Step 2: Convert to fraction form
    21,955.50/48,178.41 = 48,178.41/x
  3. Step 3: Cross multiply
    21,955.50x = 48,178.41 × 48,178.41
  4. Step 4: Simplify right side
    21,955.50x = 2,321,158,828.79
  5. Step 5: Solve for x
    x = 2,321,158,828.79/21,955.50
  6. Step 6: Final answer
    x = 105,721.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.