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Finding the Third Proportional to 38,065.50 and 51,349.50

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Solution

The third proportional to 38,065.50 and 51,349.50 is: 69,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.50 : 51,349.50 = 51,349.50 : x
  2. Step 2: Convert to fraction form
    38,065.50/51,349.50 = 51,349.50/x
  3. Step 3: Cross multiply
    38,065.50x = 51,349.50 × 51,349.50
  4. Step 4: Simplify right side
    38,065.50x = 2,636,771,150.25
  5. Step 5: Solve for x
    x = 2,636,771,150.25/38,065.50
  6. Step 6: Final answer
    x = 69,269.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.