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Finding the Third Proportional to 7,457 and 16,081.75

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Solution

The third proportional to 7,457 and 16,081.75 is: 34,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 16,081.75 = 16,081.75 : x
  2. Step 2: Convert to fraction form
    7,457/16,081.75 = 16,081.75/x
  3. Step 3: Cross multiply
    7,457x = 16,081.75 × 16,081.75
  4. Step 4: Simplify right side
    7,457x = 258,622,683.06
  5. Step 5: Solve for x
    x = 258,622,683.06/7,457
  6. Step 6: Final answer
    x = 34,681.87

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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.