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Finding the Third Proportional to 50,927.06 and 74,828.81

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Solution

The third proportional to 50,927.06 and 74,828.81 is: 109,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,927.06 : 74,828.81 = 74,828.81 : x
  2. Step 2: Convert to fraction form
    50,927.06/74,828.81 = 74,828.81/x
  3. Step 3: Cross multiply
    50,927.06x = 74,828.81 × 74,828.81
  4. Step 4: Simplify right side
    50,927.06x = 5,599,351,180.16
  5. Step 5: Solve for x
    x = 5,599,351,180.16/50,927.06
  6. Step 6: Final answer
    x = 109,948.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.