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Finding the Third Proportional to 2,435.06 and 5,259.30

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Solution

The third proportional to 2,435.06 and 5,259.30 is: 11,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.06 : 5,259.30 = 5,259.30 : x
  2. Step 2: Convert to fraction form
    2,435.06/5,259.30 = 5,259.30/x
  3. Step 3: Cross multiply
    2,435.06x = 5,259.30 × 5,259.30
  4. Step 4: Simplify right side
    2,435.06x = 27,660,285.80
  5. Step 5: Solve for x
    x = 27,660,285.80/2,435.06
  6. Step 6: Final answer
    x = 11,359.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.