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Finding the Third Proportional to 5,457.53 and 11,693.43

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Solution

The third proportional to 5,457.53 and 11,693.43 is: 25,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.53 : 11,693.43 = 11,693.43 : x
  2. Step 2: Convert to fraction form
    5,457.53/11,693.43 = 11,693.43/x
  3. Step 3: Cross multiply
    5,457.53x = 11,693.43 × 11,693.43
  4. Step 4: Simplify right side
    5,457.53x = 136,736,206.50
  5. Step 5: Solve for x
    x = 136,736,206.50/5,457.53
  6. Step 6: Final answer
    x = 25,054.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.