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Finding the Third Proportional to 2,504.81 and 5,357.06

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Solution

The third proportional to 2,504.81 and 5,357.06 is: 11,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.81 : 5,357.06 = 5,357.06 : x
  2. Step 2: Convert to fraction form
    2,504.81/5,357.06 = 5,357.06/x
  3. Step 3: Cross multiply
    2,504.81x = 5,357.06 × 5,357.06
  4. Step 4: Simplify right side
    2,504.81x = 28,698,118.63
  5. Step 5: Solve for x
    x = 28,698,118.63/2,504.81
  6. Step 6: Final answer
    x = 11,457.19

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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.