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Finding the Third Proportional to 10,709 and 16,004.50

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Solution

The third proportional to 10,709 and 16,004.50 is: 23,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709 : 16,004.50 = 16,004.50 : x
  2. Step 2: Convert to fraction form
    10,709/16,004.50 = 16,004.50/x
  3. Step 3: Cross multiply
    10,709x = 16,004.50 × 16,004.50
  4. Step 4: Simplify right side
    10,709x = 256,144,020.25
  5. Step 5: Solve for x
    x = 256,144,020.25/10,709
  6. Step 6: Final answer
    x = 23,918.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.