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Finding the Third Proportional to 7,457.06 and 10,453.22

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Solution

The third proportional to 7,457.06 and 10,453.22 is: 14,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.06 : 10,453.22 = 10,453.22 : x
  2. Step 2: Convert to fraction form
    7,457.06/10,453.22 = 10,453.22/x
  3. Step 3: Cross multiply
    7,457.06x = 10,453.22 × 10,453.22
  4. Step 4: Simplify right side
    7,457.06x = 109,269,782.24
  5. Step 5: Solve for x
    x = 109,269,782.24/7,457.06
  6. Step 6: Final answer
    x = 14,653.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.