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Finding the Third Proportional to 34,382.81 and 51,802.31

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Solution

The third proportional to 34,382.81 and 51,802.31 is: 78,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.81 : 51,802.31 = 51,802.31 : x
  2. Step 2: Convert to fraction form
    34,382.81/51,802.31 = 51,802.31/x
  3. Step 3: Cross multiply
    34,382.81x = 51,802.31 × 51,802.31
  4. Step 4: Simplify right side
    34,382.81x = 2,683,479,580.35
  5. Step 5: Solve for x
    x = 2,683,479,580.35/34,382.81
  6. Step 6: Final answer
    x = 78,047.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.