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Finding the Third Proportional to 7,457.06 and 10,537.59

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Solution

The third proportional to 7,457.06 and 10,537.59 is: 14,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.06 : 10,537.59 = 10,537.59 : x
  2. Step 2: Convert to fraction form
    7,457.06/10,537.59 = 10,537.59/x
  3. Step 3: Cross multiply
    7,457.06x = 10,537.59 × 10,537.59
  4. Step 4: Simplify right side
    7,457.06x = 111,040,882.04
  5. Step 5: Solve for x
    x = 111,040,882.04/7,457.06
  6. Step 6: Final answer
    x = 14,890.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.