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Finding the Third Proportional to 9,070.69 and 14,010.56

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Solution

The third proportional to 9,070.69 and 14,010.56 is: 21,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.69 : 14,010.56 = 14,010.56 : x
  2. Step 2: Convert to fraction form
    9,070.69/14,010.56 = 14,010.56/x
  3. Step 3: Cross multiply
    9,070.69x = 14,010.56 × 14,010.56
  4. Step 4: Simplify right side
    9,070.69x = 196,295,861.57
  5. Step 5: Solve for x
    x = 196,295,861.57/9,070.69
  6. Step 6: Final answer
    x = 21,640.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.