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Finding the Third Proportional to 2,435.63 and 5,260.88

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Solution

The third proportional to 2,435.63 and 5,260.88 is: 11,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.63 : 5,260.88 = 5,260.88 : x
  2. Step 2: Convert to fraction form
    2,435.63/5,260.88 = 5,260.88/x
  3. Step 3: Cross multiply
    2,435.63x = 5,260.88 × 5,260.88
  4. Step 4: Simplify right side
    2,435.63x = 27,676,805.77
  5. Step 5: Solve for x
    x = 27,676,805.77/2,435.63
  6. Step 6: Final answer
    x = 11,363.33

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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.