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Finding the Third Proportional to 2,420.51 and 5,277.66

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Solution

The third proportional to 2,420.51 and 5,277.66 is: 11,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.51 : 5,277.66 = 5,277.66 : x
  2. Step 2: Convert to fraction form
    2,420.51/5,277.66 = 5,277.66/x
  3. Step 3: Cross multiply
    2,420.51x = 5,277.66 × 5,277.66
  4. Step 4: Simplify right side
    2,420.51x = 27,853,655.49
  5. Step 5: Solve for x
    x = 27,853,655.49/2,420.51
  6. Step 6: Final answer
    x = 11,507.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.