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Finding the Third Proportional to 34,764.19 and 74,927.53

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Solution

The third proportional to 34,764.19 and 74,927.53 is: 161,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764.19 : 74,927.53 = 74,927.53 : x
  2. Step 2: Convert to fraction form
    34,764.19/74,927.53 = 74,927.53/x
  3. Step 3: Cross multiply
    34,764.19x = 74,927.53 × 74,927.53
  4. Step 4: Simplify right side
    34,764.19x = 5,614,134,939.22
  5. Step 5: Solve for x
    x = 5,614,134,939.22/34,764.19
  6. Step 6: Final answer
    x = 161,491.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.