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Finding the Third Proportional to 27,109.69 and 43,294.50

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Solution

The third proportional to 27,109.69 and 43,294.50 is: 69,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.69 : 43,294.50 = 43,294.50 : x
  2. Step 2: Convert to fraction form
    27,109.69/43,294.50 = 43,294.50/x
  3. Step 3: Cross multiply
    27,109.69x = 43,294.50 × 43,294.50
  4. Step 4: Simplify right side
    27,109.69x = 1,874,413,730.25
  5. Step 5: Solve for x
    x = 1,874,413,730.25/27,109.69
  6. Step 6: Final answer
    x = 69,141.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.