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Finding the Third Proportional to 13,197.09 and 28,457.16

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Solution

The third proportional to 13,197.09 and 28,457.16 is: 61,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.09 : 28,457.16 = 28,457.16 : x
  2. Step 2: Convert to fraction form
    13,197.09/28,457.16 = 28,457.16/x
  3. Step 3: Cross multiply
    13,197.09x = 28,457.16 × 28,457.16
  4. Step 4: Simplify right side
    13,197.09x = 809,809,741.84
  5. Step 5: Solve for x
    x = 809,809,741.84/13,197.09
  6. Step 6: Final answer
    x = 61,362.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.