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Finding the Third Proportional to 51,842.50 and 73,055.50

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Solution

The third proportional to 51,842.50 and 73,055.50 is: 102,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.50 : 73,055.50 = 73,055.50 : x
  2. Step 2: Convert to fraction form
    51,842.50/73,055.50 = 73,055.50/x
  3. Step 3: Cross multiply
    51,842.50x = 73,055.50 × 73,055.50
  4. Step 4: Simplify right side
    51,842.50x = 5,337,106,080.25
  5. Step 5: Solve for x
    x = 5,337,106,080.25/51,842.50
  6. Step 6: Final answer
    x = 102,948.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.