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Finding the Third Proportional to 30,805.50 and 34,045.50

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Solution

The third proportional to 30,805.50 and 34,045.50 is: 37,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.50 : 34,045.50 = 34,045.50 : x
  2. Step 2: Convert to fraction form
    30,805.50/34,045.50 = 34,045.50/x
  3. Step 3: Cross multiply
    30,805.50x = 34,045.50 × 34,045.50
  4. Step 4: Simplify right side
    30,805.50x = 1,159,096,070.25
  5. Step 5: Solve for x
    x = 1,159,096,070.25/30,805.50
  6. Step 6: Final answer
    x = 37,626.27

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.